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Finding the Fourth Proportional to 4,003.47, 6,006.49 and 1,811.61

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Solution

The fourth proportional to 4,003.47, 6,006.49 and 1,811.61 is: 2,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.47 : 6,006.49 = 1,811.61 : x
  2. Step 2: Convert to fraction form
    4,003.47/6,006.49 = 1,811.61/x
  3. Step 3: Cross multiply
    4,003.47x = 6,006.49 × 1,811.61
  4. Step 4: Simplify right side
    4,003.47x = 10,881,412.82
  5. Step 5: Solve for x
    x = 10,881,412.82/4,003.47
  6. Step 6: Final answer
    x = 2,718.00

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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.