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Finding the Fourth Proportional to 5,634.54, 7,775.72 and 3,116.65

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Solution

The fourth proportional to 5,634.54, 7,775.72 and 3,116.65 is: 4,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.54 : 7,775.72 = 3,116.65 : x
  2. Step 2: Convert to fraction form
    5,634.54/7,775.72 = 3,116.65/x
  3. Step 3: Cross multiply
    5,634.54x = 7,775.72 × 3,116.65
  4. Step 4: Simplify right side
    5,634.54x = 24,234,197.74
  5. Step 5: Solve for x
    x = 24,234,197.74/5,634.54
  6. Step 6: Final answer
    x = 4,301.01

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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.