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Finding the Fourth Proportional to 3,919.64, 5,386.10 and 3,132.32

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Solution

The fourth proportional to 3,919.64, 5,386.10 and 3,132.32 is: 4,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.64 : 5,386.10 = 3,132.32 : x
  2. Step 2: Convert to fraction form
    3,919.64/5,386.10 = 3,132.32/x
  3. Step 3: Cross multiply
    3,919.64x = 5,386.10 × 3,132.32
  4. Step 4: Simplify right side
    3,919.64x = 16,870,946.16
  5. Step 5: Solve for x
    x = 16,870,946.16/3,919.64
  6. Step 6: Final answer
    x = 4,304.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.