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Finding the Fourth Proportional to 5,134.44, 7,702.80 and 1,624.65

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Solution

The fourth proportional to 5,134.44, 7,702.80 and 1,624.65 is: 2,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.44 : 7,702.80 = 1,624.65 : x
  2. Step 2: Convert to fraction form
    5,134.44/7,702.80 = 1,624.65/x
  3. Step 3: Cross multiply
    5,134.44x = 7,702.80 × 1,624.65
  4. Step 4: Simplify right side
    5,134.44x = 12,514,354.02
  5. Step 5: Solve for x
    x = 12,514,354.02/5,134.44
  6. Step 6: Final answer
    x = 2,437.34

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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.