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Finding the Fourth Proportional to 5,726.28, 7,900.90 and 3,488.12

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Solution

The fourth proportional to 5,726.28, 7,900.90 and 3,488.12 is: 4,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.28 : 7,900.90 = 3,488.12 : x
  2. Step 2: Convert to fraction form
    5,726.28/7,900.90 = 3,488.12/x
  3. Step 3: Cross multiply
    5,726.28x = 7,900.90 × 3,488.12
  4. Step 4: Simplify right side
    5,726.28x = 27,559,287.31
  5. Step 5: Solve for x
    x = 27,559,287.31/5,726.28
  6. Step 6: Final answer
    x = 4,812.77

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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.