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Finding the Fourth Proportional to 5,378.67, 8,070.29 and 4,948.11

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Solution

The fourth proportional to 5,378.67, 8,070.29 and 4,948.11 is: 7,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.67 : 8,070.29 = 4,948.11 : x
  2. Step 2: Convert to fraction form
    5,378.67/8,070.29 = 4,948.11/x
  3. Step 3: Cross multiply
    5,378.67x = 8,070.29 × 4,948.11
  4. Step 4: Simplify right side
    5,378.67x = 39,932,657.91
  5. Step 5: Solve for x
    x = 39,932,657.91/5,378.67
  6. Step 6: Final answer
    x = 7,424.26

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Why These Related Problems?

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