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Finding the Fourth Proportional to 3,713.90, 5,128.65 and 2,965.46

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Solution

The fourth proportional to 3,713.90, 5,128.65 and 2,965.46 is: 4,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.90 : 5,128.65 = 2,965.46 : x
  2. Step 2: Convert to fraction form
    3,713.90/5,128.65 = 2,965.46/x
  3. Step 3: Cross multiply
    3,713.90x = 5,128.65 × 2,965.46
  4. Step 4: Simplify right side
    3,713.90x = 15,208,780.79
  5. Step 5: Solve for x
    x = 15,208,780.79/3,713.90
  6. Step 6: Final answer
    x = 4,095.10

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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.