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Finding the Fourth Proportional to 5,726.27, 7,903.40 and 3,914.13

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Solution

The fourth proportional to 5,726.27, 7,903.40 and 3,914.13 is: 5,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.27 : 7,903.40 = 3,914.13 : x
  2. Step 2: Convert to fraction form
    5,726.27/7,903.40 = 3,914.13/x
  3. Step 3: Cross multiply
    5,726.27x = 7,903.40 × 3,914.13
  4. Step 4: Simplify right side
    5,726.27x = 30,934,935.04
  5. Step 5: Solve for x
    x = 30,934,935.04/5,726.27
  6. Step 6: Final answer
    x = 5,402.28

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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.