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Finding the Fourth Proportional to 5,028.72, 7,505.76 and 4,283.52

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Solution

The fourth proportional to 5,028.72, 7,505.76 and 4,283.52 is: 6,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,028.72 : 7,505.76 = 4,283.52 : x
  2. Step 2: Convert to fraction form
    5,028.72/7,505.76 = 4,283.52/x
  3. Step 3: Cross multiply
    5,028.72x = 7,505.76 × 4,283.52
  4. Step 4: Simplify right side
    5,028.72x = 32,151,073.08
  5. Step 5: Solve for x
    x = 32,151,073.08/5,028.72
  6. Step 6: Final answer
    x = 6,393.49

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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.