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Finding the Fourth Proportional to 3,532.41, 5,294.97 and 1,583.55

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Solution

The fourth proportional to 3,532.41, 5,294.97 and 1,583.55 is: 2,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.41 : 5,294.97 = 1,583.55 : x
  2. Step 2: Convert to fraction form
    3,532.41/5,294.97 = 1,583.55/x
  3. Step 3: Cross multiply
    3,532.41x = 5,294.97 × 1,583.55
  4. Step 4: Simplify right side
    3,532.41x = 8,384,849.74
  5. Step 5: Solve for x
    x = 8,384,849.74/3,532.41
  6. Step 6: Final answer
    x = 2,373.69

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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.