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Finding the Fourth Proportional to 5,107.84, 7,047.90 and 2,869.81

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Solution

The fourth proportional to 5,107.84, 7,047.90 and 2,869.81 is: 3,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.84 : 7,047.90 = 2,869.81 : x
  2. Step 2: Convert to fraction form
    5,107.84/7,047.90 = 2,869.81/x
  3. Step 3: Cross multiply
    5,107.84x = 7,047.90 × 2,869.81
  4. Step 4: Simplify right side
    5,107.84x = 20,226,133.90
  5. Step 5: Solve for x
    x = 20,226,133.90/5,107.84
  6. Step 6: Final answer
    x = 3,959.82

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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.