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Finding the Fourth Proportional to 3,937.68, 5,905.98 and 2,295

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Solution

The fourth proportional to 3,937.68, 5,905.98 and 2,295 is: 3,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.68 : 5,905.98 = 2,295 : x
  2. Step 2: Convert to fraction form
    3,937.68/5,905.98 = 2,295/x
  3. Step 3: Cross multiply
    3,937.68x = 5,905.98 × 2,295
  4. Step 4: Simplify right side
    3,937.68x = 13,554,224.10
  5. Step 5: Solve for x
    x = 13,554,224.10/3,937.68
  6. Step 6: Final answer
    x = 3,442.19

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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.