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Finding the Fourth Proportional to 3,698, 5,105.03 and 2,373.95

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Solution

The fourth proportional to 3,698, 5,105.03 and 2,373.95 is: 3,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698 : 5,105.03 = 2,373.95 : x
  2. Step 2: Convert to fraction form
    3,698/5,105.03 = 2,373.95/x
  3. Step 3: Cross multiply
    3,698x = 5,105.03 × 2,373.95
  4. Step 4: Simplify right side
    3,698x = 12,119,085.97
  5. Step 5: Solve for x
    x = 12,119,085.97/3,698
  6. Step 6: Final answer
    x = 3,277.20

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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.