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Finding the Fourth Proportional to 4,006.53, 6,009.80 and 3,705.21

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Solution

The fourth proportional to 4,006.53, 6,009.80 and 3,705.21 is: 5,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.53 : 6,009.80 = 3,705.21 : x
  2. Step 2: Convert to fraction form
    4,006.53/6,009.80 = 3,705.21/x
  3. Step 3: Cross multiply
    4,006.53x = 6,009.80 × 3,705.21
  4. Step 4: Simplify right side
    4,006.53x = 22,267,552.53
  5. Step 5: Solve for x
    x = 22,267,552.53/4,006.53
  6. Step 6: Final answer
    x = 5,557.82

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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.