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Finding the Fourth Proportional to 3,953.57, 5,931.12 and 1,180.17

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Solution

The fourth proportional to 3,953.57, 5,931.12 and 1,180.17 is: 1,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.57 : 5,931.12 = 1,180.17 : x
  2. Step 2: Convert to fraction form
    3,953.57/5,931.12 = 1,180.17/x
  3. Step 3: Cross multiply
    3,953.57x = 5,931.12 × 1,180.17
  4. Step 4: Simplify right side
    3,953.57x = 6,999,729.89
  5. Step 5: Solve for x
    x = 6,999,729.89/3,953.57
  6. Step 6: Final answer
    x = 1,770.49

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Double scale
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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.