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Finding the Fourth Proportional to 3,529.65, 5,294.69 and 932.59

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Solution

The fourth proportional to 3,529.65, 5,294.69 and 932.59 is: 1,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.65 : 5,294.69 = 932.59 : x
  2. Step 2: Convert to fraction form
    3,529.65/5,294.69 = 932.59/x
  3. Step 3: Cross multiply
    3,529.65x = 5,294.69 × 932.59
  4. Step 4: Simplify right side
    3,529.65x = 4,937,774.95
  5. Step 5: Solve for x
    x = 4,937,774.95/3,529.65
  6. Step 6: Final answer
    x = 1,398.94

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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.