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Finding the Fourth Proportional to 5,565.66, 8,306.24 and 5,339.60

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Solution

The fourth proportional to 5,565.66, 8,306.24 and 5,339.60 is: 7,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.66 : 8,306.24 = 5,339.60 : x
  2. Step 2: Convert to fraction form
    5,565.66/8,306.24 = 5,339.60/x
  3. Step 3: Cross multiply
    5,565.66x = 8,306.24 × 5,339.60
  4. Step 4: Simplify right side
    5,565.66x = 44,351,999.10
  5. Step 5: Solve for x
    x = 44,351,999.10/5,565.66
  6. Step 6: Final answer
    x = 7,968.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.