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Finding the Fourth Proportional to 3,412.48, 5,123.58 and 3,256.96

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Solution

The fourth proportional to 3,412.48, 5,123.58 and 3,256.96 is: 4,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.48 : 5,123.58 = 3,256.96 : x
  2. Step 2: Convert to fraction form
    3,412.48/5,123.58 = 3,256.96/x
  3. Step 3: Cross multiply
    3,412.48x = 5,123.58 × 3,256.96
  4. Step 4: Simplify right side
    3,412.48x = 16,687,295.12
  5. Step 5: Solve for x
    x = 16,687,295.12/3,412.48
  6. Step 6: Final answer
    x = 4,890.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.