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Finding the Fourth Proportional to 3,422.47, 4,742.53 and 3,214.39

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Solution

The fourth proportional to 3,422.47, 4,742.53 and 3,214.39 is: 4,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.47 : 4,742.53 = 3,214.39 : x
  2. Step 2: Convert to fraction form
    3,422.47/4,742.53 = 3,214.39/x
  3. Step 3: Cross multiply
    3,422.47x = 4,742.53 × 3,214.39
  4. Step 4: Simplify right side
    3,422.47x = 15,244,341.01
  5. Step 5: Solve for x
    x = 15,244,341.01/3,422.47
  6. Step 6: Final answer
    x = 4,454.19

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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.