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Finding the Fourth Proportional to 3,415.50, 5,098.01 and 3,332.61

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Solution

The fourth proportional to 3,415.50, 5,098.01 and 3,332.61 is: 4,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.50 : 5,098.01 = 3,332.61 : x
  2. Step 2: Convert to fraction form
    3,415.50/5,098.01 = 3,332.61/x
  3. Step 3: Cross multiply
    3,415.50x = 5,098.01 × 3,332.61
  4. Step 4: Simplify right side
    3,415.50x = 16,989,662.44
  5. Step 5: Solve for x
    x = 16,989,662.44/3,415.50
  6. Step 6: Final answer
    x = 4,974.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.