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Finding the Fourth Proportional to 3,402.52, 4,692.54 and 3,056.92

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Solution

The fourth proportional to 3,402.52, 4,692.54 and 3,056.92 is: 4,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.52 : 4,692.54 = 3,056.92 : x
  2. Step 2: Convert to fraction form
    3,402.52/4,692.54 = 3,056.92/x
  3. Step 3: Cross multiply
    3,402.52x = 4,692.54 × 3,056.92
  4. Step 4: Simplify right side
    3,402.52x = 14,344,719.38
  5. Step 5: Solve for x
    x = 14,344,719.38/3,402.52
  6. Step 6: Final answer
    x = 4,215.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.