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Finding the Fourth Proportional to 3,549.69, 5,324.76 and 1,695.69

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Solution

The fourth proportional to 3,549.69, 5,324.76 and 1,695.69 is: 2,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.69 : 5,324.76 = 1,695.69 : x
  2. Step 2: Convert to fraction form
    3,549.69/5,324.76 = 1,695.69/x
  3. Step 3: Cross multiply
    3,549.69x = 5,324.76 × 1,695.69
  4. Step 4: Simplify right side
    3,549.69x = 9,029,142.28
  5. Step 5: Solve for x
    x = 9,029,142.28/3,549.69
  6. Step 6: Final answer
    x = 2,543.64

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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.