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Finding the Fourth Proportional to 5,161.47, 7,124.46 and 3,298.47

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Solution

The fourth proportional to 5,161.47, 7,124.46 and 3,298.47 is: 4,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.47 : 7,124.46 = 3,298.47 : x
  2. Step 2: Convert to fraction form
    5,161.47/7,124.46 = 3,298.47/x
  3. Step 3: Cross multiply
    5,161.47x = 7,124.46 × 3,298.47
  4. Step 4: Simplify right side
    5,161.47x = 23,499,817.58
  5. Step 5: Solve for x
    x = 23,499,817.58/5,161.47
  6. Step 6: Final answer
    x = 4,552.93

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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.