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Finding the Fourth Proportional to 3,646.59, 5,469.51 and 1,566.21

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Solution

The fourth proportional to 3,646.59, 5,469.51 and 1,566.21 is: 2,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.59 : 5,469.51 = 1,566.21 : x
  2. Step 2: Convert to fraction form
    3,646.59/5,469.51 = 1,566.21/x
  3. Step 3: Cross multiply
    3,646.59x = 5,469.51 × 1,566.21
  4. Step 4: Simplify right side
    3,646.59x = 8,566,401.26
  5. Step 5: Solve for x
    x = 8,566,401.26/3,646.59
  6. Step 6: Final answer
    x = 2,349.15

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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.