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Finding the Fourth Proportional to 3,212.76, 4,435.02 and 2,281.08

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Solution

The fourth proportional to 3,212.76, 4,435.02 and 2,281.08 is: 3,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.76 : 4,435.02 = 2,281.08 : x
  2. Step 2: Convert to fraction form
    3,212.76/4,435.02 = 2,281.08/x
  3. Step 3: Cross multiply
    3,212.76x = 4,435.02 × 2,281.08
  4. Step 4: Simplify right side
    3,212.76x = 10,116,635.42
  5. Step 5: Solve for x
    x = 10,116,635.42/3,212.76
  6. Step 6: Final answer
    x = 3,148.89

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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.