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Finding the Fourth Proportional to 4,498.14, 6,207.14 and 3,436.62

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Solution

The fourth proportional to 4,498.14, 6,207.14 and 3,436.62 is: 4,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.14 : 6,207.14 = 3,436.62 : x
  2. Step 2: Convert to fraction form
    4,498.14/6,207.14 = 3,436.62/x
  3. Step 3: Cross multiply
    4,498.14x = 6,207.14 × 3,436.62
  4. Step 4: Simplify right side
    4,498.14x = 21,331,564.28
  5. Step 5: Solve for x
    x = 21,331,564.28/4,498.14
  6. Step 6: Final answer
    x = 4,742.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.