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Finding the Fourth Proportional to 3,412.54, 5,115.12 and 1,653.83

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Solution

The fourth proportional to 3,412.54, 5,115.12 and 1,653.83 is: 2,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.54 : 5,115.12 = 1,653.83 : x
  2. Step 2: Convert to fraction form
    3,412.54/5,115.12 = 1,653.83/x
  3. Step 3: Cross multiply
    3,412.54x = 5,115.12 × 1,653.83
  4. Step 4: Simplify right side
    3,412.54x = 8,459,538.91
  5. Step 5: Solve for x
    x = 8,459,538.91/3,412.54
  6. Step 6: Final answer
    x = 2,478.96

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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.