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Finding the Fourth Proportional to 5,465.27, 8,204.42 and 5,242.47

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Solution

The fourth proportional to 5,465.27, 8,204.42 and 5,242.47 is: 7,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.27 : 8,204.42 = 5,242.47 : x
  2. Step 2: Convert to fraction form
    5,465.27/8,204.42 = 5,242.47/x
  3. Step 3: Cross multiply
    5,465.27x = 8,204.42 × 5,242.47
  4. Step 4: Simplify right side
    5,465.27x = 43,011,425.72
  5. Step 5: Solve for x
    x = 43,011,425.72/5,465.27
  6. Step 6: Final answer
    x = 7,869.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.