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Finding the Fourth Proportional to 3,701.93, 5,108.65 and 2,023.32

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Solution

The fourth proportional to 3,701.93, 5,108.65 and 2,023.32 is: 2,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.93 : 5,108.65 = 2,023.32 : x
  2. Step 2: Convert to fraction form
    3,701.93/5,108.65 = 2,023.32/x
  3. Step 3: Cross multiply
    3,701.93x = 5,108.65 × 2,023.32
  4. Step 4: Simplify right side
    3,701.93x = 10,336,433.72
  5. Step 5: Solve for x
    x = 10,336,433.72/3,701.93
  6. Step 6: Final answer
    x = 2,792.17

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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.