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Finding the Fourth Proportional to 5,624.58, 8,442.02 and 2,853.17

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Solution

The fourth proportional to 5,624.58, 8,442.02 and 2,853.17 is: 4,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.58 : 8,442.02 = 2,853.17 : x
  2. Step 2: Convert to fraction form
    5,624.58/8,442.02 = 2,853.17/x
  3. Step 3: Cross multiply
    5,624.58x = 8,442.02 × 2,853.17
  4. Step 4: Simplify right side
    5,624.58x = 24,086,518.20
  5. Step 5: Solve for x
    x = 24,086,518.20/5,624.58
  6. Step 6: Final answer
    x = 4,282.37

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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.