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Finding the Fourth Proportional to 5,644.17, 8,466.16 and 1,540.17

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Solution

The fourth proportional to 5,644.17, 8,466.16 and 1,540.17 is: 2,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.17 : 8,466.16 = 1,540.17 : x
  2. Step 2: Convert to fraction form
    5,644.17/8,466.16 = 1,540.17/x
  3. Step 3: Cross multiply
    5,644.17x = 8,466.16 × 1,540.17
  4. Step 4: Simplify right side
    5,644.17x = 13,039,325.65
  5. Step 5: Solve for x
    x = 13,039,325.65/5,644.17
  6. Step 6: Final answer
    x = 2,310.23

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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.