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Finding the Fourth Proportional to 3,444.66, 4,752.41 and 2,099.72

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Solution

The fourth proportional to 3,444.66, 4,752.41 and 2,099.72 is: 2,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.66 : 4,752.41 = 2,099.72 : x
  2. Step 2: Convert to fraction form
    3,444.66/4,752.41 = 2,099.72/x
  3. Step 3: Cross multiply
    3,444.66x = 4,752.41 × 2,099.72
  4. Step 4: Simplify right side
    3,444.66x = 9,978,731.71
  5. Step 5: Solve for x
    x = 9,978,731.71/3,444.66
  6. Step 6: Final answer
    x = 2,896.87

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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.