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Finding the Fourth Proportional to 4,071.62, 5,615.12 and 3,443.46

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Solution

The fourth proportional to 4,071.62, 5,615.12 and 3,443.46 is: 4,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.62 : 5,615.12 = 3,443.46 : x
  2. Step 2: Convert to fraction form
    4,071.62/5,615.12 = 3,443.46/x
  3. Step 3: Cross multiply
    4,071.62x = 5,615.12 × 3,443.46
  4. Step 4: Simplify right side
    4,071.62x = 19,335,460.25
  5. Step 5: Solve for x
    x = 19,335,460.25/4,071.62
  6. Step 6: Final answer
    x = 4,748.84

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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.