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Finding the Fourth Proportional to 5,285.96, 7,927.52 and 1,587.36

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Solution

The fourth proportional to 5,285.96, 7,927.52 and 1,587.36 is: 2,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.96 : 7,927.52 = 1,587.36 : x
  2. Step 2: Convert to fraction form
    5,285.96/7,927.52 = 1,587.36/x
  3. Step 3: Cross multiply
    5,285.96x = 7,927.52 × 1,587.36
  4. Step 4: Simplify right side
    5,285.96x = 12,583,820.21
  5. Step 5: Solve for x
    x = 12,583,820.21/5,285.96
  6. Step 6: Final answer
    x = 2,380.61

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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.