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Finding the Fourth Proportional to 4,874.75, 7,311.36 and 1,587.81

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Solution

The fourth proportional to 4,874.75, 7,311.36 and 1,587.81 is: 2,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.75 : 7,311.36 = 1,587.81 : x
  2. Step 2: Convert to fraction form
    4,874.75/7,311.36 = 1,587.81/x
  3. Step 3: Cross multiply
    4,874.75x = 7,311.36 × 1,587.81
  4. Step 4: Simplify right side
    4,874.75x = 11,609,050.52
  5. Step 5: Solve for x
    x = 11,609,050.52/4,874.75
  6. Step 6: Final answer
    x = 2,381.47

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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.