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Finding the Fourth Proportional to 3,712.07, 5,568.10 and 1,658.63

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Solution

The fourth proportional to 3,712.07, 5,568.10 and 1,658.63 is: 2,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.07 : 5,568.10 = 1,658.63 : x
  2. Step 2: Convert to fraction form
    3,712.07/5,568.10 = 1,658.63/x
  3. Step 3: Cross multiply
    3,712.07x = 5,568.10 × 1,658.63
  4. Step 4: Simplify right side
    3,712.07x = 9,235,417.70
  5. Step 5: Solve for x
    x = 9,235,417.70/3,712.07
  6. Step 6: Final answer
    x = 2,487.94

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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.