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Finding the Fourth Proportional to 3,644.74, 5,461.87 and 1,564.19

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Solution

The fourth proportional to 3,644.74, 5,461.87 and 1,564.19 is: 2,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.74 : 5,461.87 = 1,564.19 : x
  2. Step 2: Convert to fraction form
    3,644.74/5,461.87 = 1,564.19/x
  3. Step 3: Cross multiply
    3,644.74x = 5,461.87 × 1,564.19
  4. Step 4: Simplify right side
    3,644.74x = 8,543,402.44
  5. Step 5: Solve for x
    x = 8,543,402.44/3,644.74
  6. Step 6: Final answer
    x = 2,344.04

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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.