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Finding the Fourth Proportional to 4,013.64, 6,019.74 and 1,091.28

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Solution

The fourth proportional to 4,013.64, 6,019.74 and 1,091.28 is: 1,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.64 : 6,019.74 = 1,091.28 : x
  2. Step 2: Convert to fraction form
    4,013.64/6,019.74 = 1,091.28/x
  3. Step 3: Cross multiply
    4,013.64x = 6,019.74 × 1,091.28
  4. Step 4: Simplify right side
    4,013.64x = 6,569,221.87
  5. Step 5: Solve for x
    x = 6,569,221.87/4,013.64
  6. Step 6: Final answer
    x = 1,636.72

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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.