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Finding the Fourth Proportional to 5,069.16, 6,994.26 and 2,972.52

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Solution

The fourth proportional to 5,069.16, 6,994.26 and 2,972.52 is: 4,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.16 : 6,994.26 = 2,972.52 : x
  2. Step 2: Convert to fraction form
    5,069.16/6,994.26 = 2,972.52/x
  3. Step 3: Cross multiply
    5,069.16x = 6,994.26 × 2,972.52
  4. Step 4: Simplify right side
    5,069.16x = 20,790,577.74
  5. Step 5: Solve for x
    x = 20,790,577.74/5,069.16
  6. Step 6: Final answer
    x = 4,101.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.