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Finding the Fourth Proportional to 3,641.72, 5,462.61 and 1,695.32

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Solution

The fourth proportional to 3,641.72, 5,462.61 and 1,695.32 is: 2,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.72 : 5,462.61 = 1,695.32 : x
  2. Step 2: Convert to fraction form
    3,641.72/5,462.61 = 1,695.32/x
  3. Step 3: Cross multiply
    3,641.72x = 5,462.61 × 1,695.32
  4. Step 4: Simplify right side
    3,641.72x = 9,260,871.99
  5. Step 5: Solve for x
    x = 9,260,871.99/3,641.72
  6. Step 6: Final answer
    x = 2,542.99

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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.