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Finding the Fourth Proportional to 3,907.17, 5,862.12 and 1,715.61

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Solution

The fourth proportional to 3,907.17, 5,862.12 and 1,715.61 is: 2,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.17 : 5,862.12 = 1,715.61 : x
  2. Step 2: Convert to fraction form
    3,907.17/5,862.12 = 1,715.61/x
  3. Step 3: Cross multiply
    3,907.17x = 5,862.12 × 1,715.61
  4. Step 4: Simplify right side
    3,907.17x = 10,057,111.69
  5. Step 5: Solve for x
    x = 10,057,111.69/3,907.17
  6. Step 6: Final answer
    x = 2,574.01

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