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Finding the Fourth Proportional to 5,632.83, 7,773.17 and 3,115.08

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Solution

The fourth proportional to 5,632.83, 7,773.17 and 3,115.08 is: 4,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.83 : 7,773.17 = 3,115.08 : x
  2. Step 2: Convert to fraction form
    5,632.83/7,773.17 = 3,115.08/x
  3. Step 3: Cross multiply
    5,632.83x = 7,773.17 × 3,115.08
  4. Step 4: Simplify right side
    5,632.83x = 24,214,030.83
  5. Step 5: Solve for x
    x = 24,214,030.83/5,632.83
  6. Step 6: Final answer
    x = 4,298.73

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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.