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Finding the Fourth Proportional to 5,378.67, 8,070.28 and 4,148.48

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Solution

The fourth proportional to 5,378.67, 8,070.28 and 4,148.48 is: 6,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.67 : 8,070.28 = 4,148.48 : x
  2. Step 2: Convert to fraction form
    5,378.67/8,070.28 = 4,148.48/x
  3. Step 3: Cross multiply
    5,378.67x = 8,070.28 × 4,148.48
  4. Step 4: Simplify right side
    5,378.67x = 33,479,404.98
  5. Step 5: Solve for x
    x = 33,479,404.98/5,378.67
  6. Step 6: Final answer
    x = 6,224.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.