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Finding the Fourth Proportional to 5,917.68, 8,876.52 and 4,761

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Solution

The fourth proportional to 5,917.68, 8,876.52 and 4,761 is: 7,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.68 : 8,876.52 = 4,761 : x
  2. Step 2: Convert to fraction form
    5,917.68/8,876.52 = 4,761/x
  3. Step 3: Cross multiply
    5,917.68x = 8,876.52 × 4,761
  4. Step 4: Simplify right side
    5,917.68x = 42,261,111.72
  5. Step 5: Solve for x
    x = 42,261,111.72/5,917.68
  6. Step 6: Final answer
    x = 7,141.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.