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Finding the Fourth Proportional to 4,011.64, 6,017.42 and 1,089.92

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Solution

The fourth proportional to 4,011.64, 6,017.42 and 1,089.92 is: 1,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.64 : 6,017.42 = 1,089.92 : x
  2. Step 2: Convert to fraction form
    4,011.64/6,017.42 = 1,089.92/x
  3. Step 3: Cross multiply
    4,011.64x = 6,017.42 × 1,089.92
  4. Step 4: Simplify right side
    4,011.64x = 6,558,524.17
  5. Step 5: Solve for x
    x = 6,558,524.17/4,011.64
  6. Step 6: Final answer
    x = 1,634.87

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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.