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Finding the Fourth Proportional to 3,687.31, 5,093.65 and 2,567.69

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Solution

The fourth proportional to 3,687.31, 5,093.65 and 2,567.69 is: 3,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.31 : 5,093.65 = 2,567.69 : x
  2. Step 2: Convert to fraction form
    3,687.31/5,093.65 = 2,567.69/x
  3. Step 3: Cross multiply
    3,687.31x = 5,093.65 × 2,567.69
  4. Step 4: Simplify right side
    3,687.31x = 13,078,914.17
  5. Step 5: Solve for x
    x = 13,078,914.17/3,687.31
  6. Step 6: Final answer
    x = 3,547.01

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