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Finding the Fourth Proportional to 5,726.16, 7,902.36 and 4,482

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Solution

The fourth proportional to 5,726.16, 7,902.36 and 4,482 is: 6,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.16 : 7,902.36 = 4,482 : x
  2. Step 2: Convert to fraction form
    5,726.16/7,902.36 = 4,482/x
  3. Step 3: Cross multiply
    5,726.16x = 7,902.36 × 4,482
  4. Step 4: Simplify right side
    5,726.16x = 35,418,377.52
  5. Step 5: Solve for x
    x = 35,418,377.52/5,726.16
  6. Step 6: Final answer
    x = 6,185.36

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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.