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Finding the Fourth Proportional to 4,113.92, 6,170.88 and 1,036.16

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Solution

The fourth proportional to 4,113.92, 6,170.88 and 1,036.16 is: 1,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.92 : 6,170.88 = 1,036.16 : x
  2. Step 2: Convert to fraction form
    4,113.92/6,170.88 = 1,036.16/x
  3. Step 3: Cross multiply
    4,113.92x = 6,170.88 × 1,036.16
  4. Step 4: Simplify right side
    4,113.92x = 6,394,019.02
  5. Step 5: Solve for x
    x = 6,394,019.02/4,113.92
  6. Step 6: Final answer
    x = 1,554.24

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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.