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Finding the Fourth Proportional to 5,252.96, 7,248.80 and 2,894.66

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Solution

The fourth proportional to 5,252.96, 7,248.80 and 2,894.66 is: 3,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.96 : 7,248.80 = 2,894.66 : x
  2. Step 2: Convert to fraction form
    5,252.96/7,248.80 = 2,894.66/x
  3. Step 3: Cross multiply
    5,252.96x = 7,248.80 × 2,894.66
  4. Step 4: Simplify right side
    5,252.96x = 20,982,811.41
  5. Step 5: Solve for x
    x = 20,982,811.41/5,252.96
  6. Step 6: Final answer
    x = 3,994.47

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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.