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Finding the Fourth Proportional to 4,002.56, 6,006.40 and 3,574.88

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Solution

The fourth proportional to 4,002.56, 6,006.40 and 3,574.88 is: 5,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.56 : 6,006.40 = 3,574.88 : x
  2. Step 2: Convert to fraction form
    4,002.56/6,006.40 = 3,574.88/x
  3. Step 3: Cross multiply
    4,002.56x = 6,006.40 × 3,574.88
  4. Step 4: Simplify right side
    4,002.56x = 21,472,159.23
  5. Step 5: Solve for x
    x = 21,472,159.23/4,002.56
  6. Step 6: Final answer
    x = 5,364.61

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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.