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Finding the Fourth Proportional to 5,754.87, 8,638.31 and 5,100.93

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Solution

The fourth proportional to 5,754.87, 8,638.31 and 5,100.93 is: 7,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.87 : 8,638.31 = 5,100.93 : x
  2. Step 2: Convert to fraction form
    5,754.87/8,638.31 = 5,100.93/x
  3. Step 3: Cross multiply
    5,754.87x = 8,638.31 × 5,100.93
  4. Step 4: Simplify right side
    5,754.87x = 44,063,427.38
  5. Step 5: Solve for x
    x = 44,063,427.38/5,754.87
  6. Step 6: Final answer
    x = 7,656.72

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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.