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Finding the Fourth Proportional to 3,641.40, 5,020.65 and 2,695.86

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Solution

The fourth proportional to 3,641.40, 5,020.65 and 2,695.86 is: 3,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.40 : 5,020.65 = 2,695.86 : x
  2. Step 2: Convert to fraction form
    3,641.40/5,020.65 = 2,695.86/x
  3. Step 3: Cross multiply
    3,641.40x = 5,020.65 × 2,695.86
  4. Step 4: Simplify right side
    3,641.40x = 13,534,969.51
  5. Step 5: Solve for x
    x = 13,534,969.51/3,641.40
  6. Step 6: Final answer
    x = 3,716.97

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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.