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Finding the Fourth Proportional to 5,463.66, 8,188.65 and 2,340

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Solution

The fourth proportional to 5,463.66, 8,188.65 and 2,340 is: 3,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.66 : 8,188.65 = 2,340 : x
  2. Step 2: Convert to fraction form
    5,463.66/8,188.65 = 2,340/x
  3. Step 3: Cross multiply
    5,463.66x = 8,188.65 × 2,340
  4. Step 4: Simplify right side
    5,463.66x = 19,161,441
  5. Step 5: Solve for x
    x = 19,161,441/5,463.66
  6. Step 6: Final answer
    x = 3,507.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.