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Finding the Fourth Proportional to 5,252.32, 7,248.17 and 2,894.46

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Solution

The fourth proportional to 5,252.32, 7,248.17 and 2,894.46 is: 3,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.32 : 7,248.17 = 2,894.46 : x
  2. Step 2: Convert to fraction form
    5,252.32/7,248.17 = 2,894.46/x
  3. Step 3: Cross multiply
    5,252.32x = 7,248.17 × 2,894.46
  4. Step 4: Simplify right side
    5,252.32x = 20,979,561.70
  5. Step 5: Solve for x
    x = 20,979,561.70/5,252.32
  6. Step 6: Final answer
    x = 3,994.34

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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.