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Finding the Fourth Proportional to 3,943.53, 5,915.10 and 1,478.16

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Solution

The fourth proportional to 3,943.53, 5,915.10 and 1,478.16 is: 2,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.53 : 5,915.10 = 1,478.16 : x
  2. Step 2: Convert to fraction form
    3,943.53/5,915.10 = 1,478.16/x
  3. Step 3: Cross multiply
    3,943.53x = 5,915.10 × 1,478.16
  4. Step 4: Simplify right side
    3,943.53x = 8,743,464.22
  5. Step 5: Solve for x
    x = 8,743,464.22/3,943.53
  6. Step 6: Final answer
    x = 2,217.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.