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Finding the Fourth Proportional to 6,298,851.92, 8,687,936.76 and 4,204,638.32

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Solution

The fourth proportional to 6,298,851.92, 8,687,936.76 and 4,204,638.32 is: 5,799,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298,851.92 : 8,687,936.76 = 4,204,638.32 : x
  2. Step 2: Convert to fraction form
    6,298,851.92/8,687,936.76 = 4,204,638.32/x
  3. Step 3: Cross multiply
    6,298,851.92x = 8,687,936.76 × 4,204,638.32
  4. Step 4: Simplify right side
    6,298,851.92x = 36,529,631,822,832.65
  5. Step 5: Solve for x
    x = 36,529,631,822,832.65/6,298,851.92
  6. Step 6: Final answer
    x = 5,799,411.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.