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Finding the Fourth Proportional to 3,699.26, 5,107.72 and 2,373.69

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Solution

The fourth proportional to 3,699.26, 5,107.72 and 2,373.69 is: 3,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.26 : 5,107.72 = 2,373.69 : x
  2. Step 2: Convert to fraction form
    3,699.26/5,107.72 = 2,373.69/x
  3. Step 3: Cross multiply
    3,699.26x = 5,107.72 × 2,373.69
  4. Step 4: Simplify right side
    3,699.26x = 12,124,143.89
  5. Step 5: Solve for x
    x = 12,124,143.89/3,699.26
  6. Step 6: Final answer
    x = 3,277.45

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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.