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Finding the Fourth Proportional to 3,420.20, 5,130.02 and 954.84

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Solution

The fourth proportional to 3,420.20, 5,130.02 and 954.84 is: 1,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.20 : 5,130.02 = 954.84 : x
  2. Step 2: Convert to fraction form
    3,420.20/5,130.02 = 954.84/x
  3. Step 3: Cross multiply
    3,420.20x = 5,130.02 × 954.84
  4. Step 4: Simplify right side
    3,420.20x = 4,898,348.30
  5. Step 5: Solve for x
    x = 4,898,348.30/3,420.20
  6. Step 6: Final answer
    x = 1,432.18

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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.