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Finding the Fourth Proportional to 3,698.73, 5,102.94 and 2,373.15

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Solution

The fourth proportional to 3,698.73, 5,102.94 and 2,373.15 is: 3,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.73 : 5,102.94 = 2,373.15 : x
  2. Step 2: Convert to fraction form
    3,698.73/5,102.94 = 2,373.15/x
  3. Step 3: Cross multiply
    3,698.73x = 5,102.94 × 2,373.15
  4. Step 4: Simplify right side
    3,698.73x = 12,110,042.06
  5. Step 5: Solve for x
    x = 12,110,042.06/3,698.73
  6. Step 6: Final answer
    x = 3,274.11

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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.