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Finding the Fourth Proportional to 5,252.14, 7,248.07 and 2,894.28

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Solution

The fourth proportional to 5,252.14, 7,248.07 and 2,894.28 is: 3,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.14 : 7,248.07 = 2,894.28 : x
  2. Step 2: Convert to fraction form
    5,252.14/7,248.07 = 2,894.28/x
  3. Step 3: Cross multiply
    5,252.14x = 7,248.07 × 2,894.28
  4. Step 4: Simplify right side
    5,252.14x = 20,977,944.97
  5. Step 5: Solve for x
    x = 20,977,944.97/5,252.14
  6. Step 6: Final answer
    x = 3,994.17

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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.