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Finding the Fourth Proportional to 3,695.76, 5,543.68 and 959.76

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Solution

The fourth proportional to 3,695.76, 5,543.68 and 959.76 is: 1,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.76 : 5,543.68 = 959.76 : x
  2. Step 2: Convert to fraction form
    3,695.76/5,543.68 = 959.76/x
  3. Step 3: Cross multiply
    3,695.76x = 5,543.68 × 959.76
  4. Step 4: Simplify right side
    3,695.76x = 5,320,602.32
  5. Step 5: Solve for x
    x = 5,320,602.32/3,695.76
  6. Step 6: Final answer
    x = 1,439.65

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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.