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Finding the Fourth Proportional to 4,538.32, 6,248.54 and 4,123.08

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Solution

The fourth proportional to 4,538.32, 6,248.54 and 4,123.08 is: 5,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.32 : 6,248.54 = 4,123.08 : x
  2. Step 2: Convert to fraction form
    4,538.32/6,248.54 = 4,123.08/x
  3. Step 3: Cross multiply
    4,538.32x = 6,248.54 × 4,123.08
  4. Step 4: Simplify right side
    4,538.32x = 25,763,230.30
  5. Step 5: Solve for x
    x = 25,763,230.30/4,538.32
  6. Step 6: Final answer
    x = 5,676.82

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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.