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Finding the Fourth Proportional to 3,981.66, 5,972.52 and 1,386.42

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Solution

The fourth proportional to 3,981.66, 5,972.52 and 1,386.42 is: 2,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.66 : 5,972.52 = 1,386.42 : x
  2. Step 2: Convert to fraction form
    3,981.66/5,972.52 = 1,386.42/x
  3. Step 3: Cross multiply
    3,981.66x = 5,972.52 × 1,386.42
  4. Step 4: Simplify right side
    3,981.66x = 8,280,421.18
  5. Step 5: Solve for x
    x = 8,280,421.18/3,981.66
  6. Step 6: Final answer
    x = 2,079.64

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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.