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Finding the Fourth Proportional to 5,463.34, 7,538.28 and 3,473.17

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Solution

The fourth proportional to 5,463.34, 7,538.28 and 3,473.17 is: 4,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.34 : 7,538.28 = 3,473.17 : x
  2. Step 2: Convert to fraction form
    5,463.34/7,538.28 = 3,473.17/x
  3. Step 3: Cross multiply
    5,463.34x = 7,538.28 × 3,473.17
  4. Step 4: Simplify right side
    5,463.34x = 26,181,727.95
  5. Step 5: Solve for x
    x = 26,181,727.95/5,463.34
  6. Step 6: Final answer
    x = 4,792.26

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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.