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Finding the Fourth Proportional to 6,130.17, 8,456.22 and 3,888.09

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Solution

The fourth proportional to 6,130.17, 8,456.22 and 3,888.09 is: 5,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.17 : 8,456.22 = 3,888.09 : x
  2. Step 2: Convert to fraction form
    6,130.17/8,456.22 = 3,888.09/x
  3. Step 3: Cross multiply
    6,130.17x = 8,456.22 × 3,888.09
  4. Step 4: Simplify right side
    6,130.17x = 32,878,544.42
  5. Step 5: Solve for x
    x = 32,878,544.42/6,130.17
  6. Step 6: Final answer
    x = 5,363.40

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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.