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Finding the Fourth Proportional to 7,051.88, 9,731.60 and 4,257.38

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Solution

The fourth proportional to 7,051.88, 9,731.60 and 4,257.38 is: 5,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.88 : 9,731.60 = 4,257.38 : x
  2. Step 2: Convert to fraction form
    7,051.88/9,731.60 = 4,257.38/x
  3. Step 3: Cross multiply
    7,051.88x = 9,731.60 × 4,257.38
  4. Step 4: Simplify right side
    7,051.88x = 41,431,049.26
  5. Step 5: Solve for x
    x = 41,431,049.26/7,051.88
  6. Step 6: Final answer
    x = 5,875.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.