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Finding the Fourth Proportional to 3,502.84, 5,253.14 and 1,652.84

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Solution

The fourth proportional to 3,502.84, 5,253.14 and 1,652.84 is: 2,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.84 : 5,253.14 = 1,652.84 : x
  2. Step 2: Convert to fraction form
    3,502.84/5,253.14 = 1,652.84/x
  3. Step 3: Cross multiply
    3,502.84x = 5,253.14 × 1,652.84
  4. Step 4: Simplify right side
    3,502.84x = 8,682,599.92
  5. Step 5: Solve for x
    x = 8,682,599.92/3,502.84
  6. Step 6: Final answer
    x = 2,478.73

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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.