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Finding the Fourth Proportional to 5,188.74, 7,780.14 and 2,417.16

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Solution

The fourth proportional to 5,188.74, 7,780.14 and 2,417.16 is: 3,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.74 : 7,780.14 = 2,417.16 : x
  2. Step 2: Convert to fraction form
    5,188.74/7,780.14 = 2,417.16/x
  3. Step 3: Cross multiply
    5,188.74x = 7,780.14 × 2,417.16
  4. Step 4: Simplify right side
    5,188.74x = 18,805,843.20
  5. Step 5: Solve for x
    x = 18,805,843.20/5,188.74
  6. Step 6: Final answer
    x = 3,624.36

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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.