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Finding the Fourth Proportional to 3,557.34, 5,336.29 and 960.24

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Solution

The fourth proportional to 3,557.34, 5,336.29 and 960.24 is: 1,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.34 : 5,336.29 = 960.24 : x
  2. Step 2: Convert to fraction form
    3,557.34/5,336.29 = 960.24/x
  3. Step 3: Cross multiply
    3,557.34x = 5,336.29 × 960.24
  4. Step 4: Simplify right side
    3,557.34x = 5,124,119.11
  5. Step 5: Solve for x
    x = 5,124,119.11/3,557.34
  6. Step 6: Final answer
    x = 1,440.44

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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.