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Finding the Fourth Proportional to 5,095.75, 7,644.72 and 1,585.68

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Solution

The fourth proportional to 5,095.75, 7,644.72 and 1,585.68 is: 2,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.75 : 7,644.72 = 1,585.68 : x
  2. Step 2: Convert to fraction form
    5,095.75/7,644.72 = 1,585.68/x
  3. Step 3: Cross multiply
    5,095.75x = 7,644.72 × 1,585.68
  4. Step 4: Simplify right side
    5,095.75x = 12,122,079.61
  5. Step 5: Solve for x
    x = 12,122,079.61/5,095.75
  6. Step 6: Final answer
    x = 2,378.86

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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.