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Finding the Fourth Proportional to 5,677.53, 7,834.83 and 3,159.54

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Solution

The fourth proportional to 5,677.53, 7,834.83 and 3,159.54 is: 4,360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.53 : 7,834.83 = 3,159.54 : x
  2. Step 2: Convert to fraction form
    5,677.53/7,834.83 = 3,159.54/x
  3. Step 3: Cross multiply
    5,677.53x = 7,834.83 × 3,159.54
  4. Step 4: Simplify right side
    5,677.53x = 24,754,446.93
  5. Step 5: Solve for x
    x = 24,754,446.93/5,677.53
  6. Step 6: Final answer
    x = 4,360.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.