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Finding the Fourth Proportional to 3,452.31, 4,762.17 and 2,507.00

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Solution

The fourth proportional to 3,452.31, 4,762.17 and 2,507.00 is: 3,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.31 : 4,762.17 = 2,507.00 : x
  2. Step 2: Convert to fraction form
    3,452.31/4,762.17 = 2,507.00/x
  3. Step 3: Cross multiply
    3,452.31x = 4,762.17 × 2,507.00
  4. Step 4: Simplify right side
    3,452.31x = 11,938,736.38
  5. Step 5: Solve for x
    x = 11,938,736.38/3,452.31
  6. Step 6: Final answer
    x = 3,458.19

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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.