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Finding the Fourth Proportional to 3,901.41, 5,852.13 and 1,562.46

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Solution

The fourth proportional to 3,901.41, 5,852.13 and 1,562.46 is: 2,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.41 : 5,852.13 = 1,562.46 : x
  2. Step 2: Convert to fraction form
    3,901.41/5,852.13 = 1,562.46/x
  3. Step 3: Cross multiply
    3,901.41x = 5,852.13 × 1,562.46
  4. Step 4: Simplify right side
    3,901.41x = 9,143,719.04
  5. Step 5: Solve for x
    x = 9,143,719.04/3,901.41
  6. Step 6: Final answer
    x = 2,343.70

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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.