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Finding the Fourth Proportional to 3,159.81, 4,356.86 and 2,969.19

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Solution

The fourth proportional to 3,159.81, 4,356.86 and 2,969.19 is: 4,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.81 : 4,356.86 = 2,969.19 : x
  2. Step 2: Convert to fraction form
    3,159.81/4,356.86 = 2,969.19/x
  3. Step 3: Cross multiply
    3,159.81x = 4,356.86 × 2,969.19
  4. Step 4: Simplify right side
    3,159.81x = 12,936,330.30
  5. Step 5: Solve for x
    x = 12,936,330.30/3,159.81
  6. Step 6: Final answer
    x = 4,094.02

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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.