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Finding the Fourth Proportional to 3,733.49, 5,600.29 and 960.10

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Solution

The fourth proportional to 3,733.49, 5,600.29 and 960.10 is: 1,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.49 : 5,600.29 = 960.10 : x
  2. Step 2: Convert to fraction form
    3,733.49/5,600.29 = 960.10/x
  3. Step 3: Cross multiply
    3,733.49x = 5,600.29 × 960.10
  4. Step 4: Simplify right side
    3,733.49x = 5,376,838.43
  5. Step 5: Solve for x
    x = 5,376,838.43/3,733.49
  6. Step 6: Final answer
    x = 1,440.16

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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.