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Finding the Fourth Proportional to 5,074, 7,002.12 and 2,866

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Solution

The fourth proportional to 5,074, 7,002.12 and 2,866 is: 3,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074 : 7,002.12 = 2,866 : x
  2. Step 2: Convert to fraction form
    5,074/7,002.12 = 2,866/x
  3. Step 3: Cross multiply
    5,074x = 7,002.12 × 2,866
  4. Step 4: Simplify right side
    5,074x = 20,068,075.92
  5. Step 5: Solve for x
    x = 20,068,075.92/5,074
  6. Step 6: Final answer
    x = 3,955.08

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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.