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Finding the Fourth Proportional to 5,419.48, 7,478.76 and 3,029.48

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Solution

The fourth proportional to 5,419.48, 7,478.76 and 3,029.48 is: 4,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.48 : 7,478.76 = 3,029.48 : x
  2. Step 2: Convert to fraction form
    5,419.48/7,478.76 = 3,029.48/x
  3. Step 3: Cross multiply
    5,419.48x = 7,478.76 × 3,029.48
  4. Step 4: Simplify right side
    5,419.48x = 22,656,753.84
  5. Step 5: Solve for x
    x = 22,656,753.84/5,419.48
  6. Step 6: Final answer
    x = 4,180.61

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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.