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Finding the Fourth Proportional to 3,478.56, 5,218.70 and 1,013.40

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Solution

The fourth proportional to 3,478.56, 5,218.70 and 1,013.40 is: 1,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.56 : 5,218.70 = 1,013.40 : x
  2. Step 2: Convert to fraction form
    3,478.56/5,218.70 = 1,013.40/x
  3. Step 3: Cross multiply
    3,478.56x = 5,218.70 × 1,013.40
  4. Step 4: Simplify right side
    3,478.56x = 5,288,612.47
  5. Step 5: Solve for x
    x = 5,288,612.47/3,478.56
  6. Step 6: Final answer
    x = 1,520.35

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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.