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Finding the Fourth Proportional to 3,775.68, 5,663.52 and 1,695.24

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Solution

The fourth proportional to 3,775.68, 5,663.52 and 1,695.24 is: 2,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.68 : 5,663.52 = 1,695.24 : x
  2. Step 2: Convert to fraction form
    3,775.68/5,663.52 = 1,695.24/x
  3. Step 3: Cross multiply
    3,775.68x = 5,663.52 × 1,695.24
  4. Step 4: Simplify right side
    3,775.68x = 9,601,025.64
  5. Step 5: Solve for x
    x = 9,601,025.64/3,775.68
  6. Step 6: Final answer
    x = 2,542.86

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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.