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Finding the Fourth Proportional to 3,470.34, 4,781.98 and 2,473.50

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Solution

The fourth proportional to 3,470.34, 4,781.98 and 2,473.50 is: 3,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.34 : 4,781.98 = 2,473.50 : x
  2. Step 2: Convert to fraction form
    3,470.34/4,781.98 = 2,473.50/x
  3. Step 3: Cross multiply
    3,470.34x = 4,781.98 × 2,473.50
  4. Step 4: Simplify right side
    3,470.34x = 11,828,197.44
  5. Step 5: Solve for x
    x = 11,828,197.44/3,470.34
  6. Step 6: Final answer
    x = 3,408.37

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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.