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Finding the Fourth Proportional to 3,465.44, 4,770.64 and 3,132.88

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Solution

The fourth proportional to 3,465.44, 4,770.64 and 3,132.88 is: 4,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.44 : 4,770.64 = 3,132.88 : x
  2. Step 2: Convert to fraction form
    3,465.44/4,770.64 = 3,132.88/x
  3. Step 3: Cross multiply
    3,465.44x = 4,770.64 × 3,132.88
  4. Step 4: Simplify right side
    3,465.44x = 14,945,842.64
  5. Step 5: Solve for x
    x = 14,945,842.64/3,465.44
  6. Step 6: Final answer
    x = 4,312.83

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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.