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Finding the Fourth Proportional to 4,006.04, 6,010.86 and 2,544.80

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Solution

The fourth proportional to 4,006.04, 6,010.86 and 2,544.80 is: 3,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.04 : 6,010.86 = 2,544.80 : x
  2. Step 2: Convert to fraction form
    4,006.04/6,010.86 = 2,544.80/x
  3. Step 3: Cross multiply
    4,006.04x = 6,010.86 × 2,544.80
  4. Step 4: Simplify right side
    4,006.04x = 15,296,436.53
  5. Step 5: Solve for x
    x = 15,296,436.53/4,006.04
  6. Step 6: Final answer
    x = 3,818.34

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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.