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Finding the Fourth Proportional to 5,135.55, 7,666.17 and 4,512.76

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Solution

The fourth proportional to 5,135.55, 7,666.17 and 4,512.76 is: 6,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.55 : 7,666.17 = 4,512.76 : x
  2. Step 2: Convert to fraction form
    5,135.55/7,666.17 = 4,512.76/x
  3. Step 3: Cross multiply
    5,135.55x = 7,666.17 × 4,512.76
  4. Step 4: Simplify right side
    5,135.55x = 34,595,585.33
  5. Step 5: Solve for x
    x = 34,595,585.33/5,135.55
  6. Step 6: Final answer
    x = 6,736.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.