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Finding the Fourth Proportional to 5,468.16, 7,543.28 and 3,699.12

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Solution

The fourth proportional to 5,468.16, 7,543.28 and 3,699.12 is: 5,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.16 : 7,543.28 = 3,699.12 : x
  2. Step 2: Convert to fraction form
    5,468.16/7,543.28 = 3,699.12/x
  3. Step 3: Cross multiply
    5,468.16x = 7,543.28 × 3,699.12
  4. Step 4: Simplify right side
    5,468.16x = 27,903,497.91
  5. Step 5: Solve for x
    x = 27,903,497.91/5,468.16
  6. Step 6: Final answer
    x = 5,102.90

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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.