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Finding the Fourth Proportional to 5,252.56, 7,248.50 and 2,894.70

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Solution

The fourth proportional to 5,252.56, 7,248.50 and 2,894.70 is: 3,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.56 : 7,248.50 = 2,894.70 : x
  2. Step 2: Convert to fraction form
    5,252.56/7,248.50 = 2,894.70/x
  3. Step 3: Cross multiply
    5,252.56x = 7,248.50 × 2,894.70
  4. Step 4: Simplify right side
    5,252.56x = 20,982,232.95
  5. Step 5: Solve for x
    x = 20,982,232.95/5,252.56
  6. Step 6: Final answer
    x = 3,994.67

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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.