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Finding the Fourth Proportional to 5,468.42, 7,528.17 and 5,217.35

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Solution

The fourth proportional to 5,468.42, 7,528.17 and 5,217.35 is: 7,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.42 : 7,528.17 = 5,217.35 : x
  2. Step 2: Convert to fraction form
    5,468.42/7,528.17 = 5,217.35/x
  3. Step 3: Cross multiply
    5,468.42x = 7,528.17 × 5,217.35
  4. Step 4: Simplify right side
    5,468.42x = 39,277,060.11
  5. Step 5: Solve for x
    x = 39,277,060.11/5,468.42
  6. Step 6: Final answer
    x = 7,182.53

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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.