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Finding the Fourth Proportional to 4,006.53, 5,529.51 and 2,305.71

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Solution

The fourth proportional to 4,006.53, 5,529.51 and 2,305.71 is: 3,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.53 : 5,529.51 = 2,305.71 : x
  2. Step 2: Convert to fraction form
    4,006.53/5,529.51 = 2,305.71/x
  3. Step 3: Cross multiply
    4,006.53x = 5,529.51 × 2,305.71
  4. Step 4: Simplify right side
    4,006.53x = 12,749,446.50
  5. Step 5: Solve for x
    x = 12,749,446.50/4,006.53
  6. Step 6: Final answer
    x = 3,182.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.