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Finding the Fourth Proportional to 3,470.48, 4,822.46 and 3,434.96

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Solution

The fourth proportional to 3,470.48, 4,822.46 and 3,434.96 is: 4,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.48 : 4,822.46 = 3,434.96 : x
  2. Step 2: Convert to fraction form
    3,470.48/4,822.46 = 3,434.96/x
  3. Step 3: Cross multiply
    3,470.48x = 4,822.46 × 3,434.96
  4. Step 4: Simplify right side
    3,470.48x = 16,564,957.20
  5. Step 5: Solve for x
    x = 16,564,957.20/3,470.48
  6. Step 6: Final answer
    x = 4,773.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.