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Finding the Fourth Proportional to 3,908.90, 5,864.00 and 1,443.72

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Solution

The fourth proportional to 3,908.90, 5,864.00 and 1,443.72 is: 2,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.90 : 5,864.00 = 1,443.72 : x
  2. Step 2: Convert to fraction form
    3,908.90/5,864.00 = 1,443.72/x
  3. Step 3: Cross multiply
    3,908.90x = 5,864.00 × 1,443.72
  4. Step 4: Simplify right side
    3,908.90x = 8,465,966.86
  5. Step 5: Solve for x
    x = 8,465,966.86/3,908.90
  6. Step 6: Final answer
    x = 2,165.82

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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.