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Finding the Fourth Proportional to 5,483.72, 7,565.11 and 3,809.16

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Solution

The fourth proportional to 5,483.72, 7,565.11 and 3,809.16 is: 5,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.72 : 7,565.11 = 3,809.16 : x
  2. Step 2: Convert to fraction form
    5,483.72/7,565.11 = 3,809.16/x
  3. Step 3: Cross multiply
    5,483.72x = 7,565.11 × 3,809.16
  4. Step 4: Simplify right side
    5,483.72x = 28,816,704.88
  5. Step 5: Solve for x
    x = 28,816,704.88/5,483.72
  6. Step 6: Final answer
    x = 5,254.95

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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.