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Finding the Fourth Proportional to 5,708.10, 8,538.15 and 5,127.30

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Solution

The fourth proportional to 5,708.10, 8,538.15 and 5,127.30 is: 7,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.10 : 8,538.15 = 5,127.30 : x
  2. Step 2: Convert to fraction form
    5,708.10/8,538.15 = 5,127.30/x
  3. Step 3: Cross multiply
    5,708.10x = 8,538.15 × 5,127.30
  4. Step 4: Simplify right side
    5,708.10x = 43,777,656.50
  5. Step 5: Solve for x
    x = 43,777,656.50/5,708.10
  6. Step 6: Final answer
    x = 7,669.39

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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.