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Finding the Fourth Proportional to 5,306.60, 7,964.15 and 3,117.17

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Solution

The fourth proportional to 5,306.60, 7,964.15 and 3,117.17 is: 4,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.60 : 7,964.15 = 3,117.17 : x
  2. Step 2: Convert to fraction form
    5,306.60/7,964.15 = 3,117.17/x
  3. Step 3: Cross multiply
    5,306.60x = 7,964.15 × 3,117.17
  4. Step 4: Simplify right side
    5,306.60x = 24,825,554.05
  5. Step 5: Solve for x
    x = 24,825,554.05/5,306.60
  6. Step 6: Final answer
    x = 4,678.25

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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.