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Finding the Fourth Proportional to 5,421.68, 7,481.84 and 3,064.32

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Solution

The fourth proportional to 5,421.68, 7,481.84 and 3,064.32 is: 4,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.68 : 7,481.84 = 3,064.32 : x
  2. Step 2: Convert to fraction form
    5,421.68/7,481.84 = 3,064.32/x
  3. Step 3: Cross multiply
    5,421.68x = 7,481.84 × 3,064.32
  4. Step 4: Simplify right side
    5,421.68x = 22,926,751.95
  5. Step 5: Solve for x
    x = 22,926,751.95/5,421.68
  6. Step 6: Final answer
    x = 4,228.72

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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.