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Finding the Fourth Proportional to 4,123.75, 5,691.18 and 2,355.40

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Solution

The fourth proportional to 4,123.75, 5,691.18 and 2,355.40 is: 3,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.75 : 5,691.18 = 2,355.40 : x
  2. Step 2: Convert to fraction form
    4,123.75/5,691.18 = 2,355.40/x
  3. Step 3: Cross multiply
    4,123.75x = 5,691.18 × 2,355.40
  4. Step 4: Simplify right side
    4,123.75x = 13,405,005.37
  5. Step 5: Solve for x
    x = 13,405,005.37/4,123.75
  6. Step 6: Final answer
    x = 3,250.68

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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.