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Finding the Fourth Proportional to 4,847.04, 7,278.84 and 4,293

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Solution

The fourth proportional to 4,847.04, 7,278.84 and 4,293 is: 6,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.04 : 7,278.84 = 4,293 : x
  2. Step 2: Convert to fraction form
    4,847.04/7,278.84 = 4,293/x
  3. Step 3: Cross multiply
    4,847.04x = 7,278.84 × 4,293
  4. Step 4: Simplify right side
    4,847.04x = 31,248,060.12
  5. Step 5: Solve for x
    x = 31,248,060.12/4,847.04
  6. Step 6: Final answer
    x = 6,446.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.