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Finding the Fourth Proportional to 3,534.69, 5,302.17 and 937.65

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Solution

The fourth proportional to 3,534.69, 5,302.17 and 937.65 is: 1,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.69 : 5,302.17 = 937.65 : x
  2. Step 2: Convert to fraction form
    3,534.69/5,302.17 = 937.65/x
  3. Step 3: Cross multiply
    3,534.69x = 5,302.17 × 937.65
  4. Step 4: Simplify right side
    3,534.69x = 4,971,579.70
  5. Step 5: Solve for x
    x = 4,971,579.70/3,534.69
  6. Step 6: Final answer
    x = 1,406.51

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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.