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Finding the Fourth Proportional to 4,046.40, 6,062.40 and 3,470.40

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Solution

The fourth proportional to 4,046.40, 6,062.40 and 3,470.40 is: 5,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.40 : 6,062.40 = 3,470.40 : x
  2. Step 2: Convert to fraction form
    4,046.40/6,062.40 = 3,470.40/x
  3. Step 3: Cross multiply
    4,046.40x = 6,062.40 × 3,470.40
  4. Step 4: Simplify right side
    4,046.40x = 21,038,952.96
  5. Step 5: Solve for x
    x = 21,038,952.96/4,046.40
  6. Step 6: Final answer
    x = 5,199.42

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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.