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Finding the Fourth Proportional to 4,594.54, 6,338.10 and 3,102.52

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Solution

The fourth proportional to 4,594.54, 6,338.10 and 3,102.52 is: 4,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.54 : 6,338.10 = 3,102.52 : x
  2. Step 2: Convert to fraction form
    4,594.54/6,338.10 = 3,102.52/x
  3. Step 3: Cross multiply
    4,594.54x = 6,338.10 × 3,102.52
  4. Step 4: Simplify right side
    4,594.54x = 19,664,082.01
  5. Step 5: Solve for x
    x = 19,664,082.01/4,594.54
  6. Step 6: Final answer
    x = 4,279.88

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