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Finding the Fourth Proportional to 4,849.04, 7,275.72 and 2,540

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Solution

The fourth proportional to 4,849.04, 7,275.72 and 2,540 is: 3,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.04 : 7,275.72 = 2,540 : x
  2. Step 2: Convert to fraction form
    4,849.04/7,275.72 = 2,540/x
  3. Step 3: Cross multiply
    4,849.04x = 7,275.72 × 2,540
  4. Step 4: Simplify right side
    4,849.04x = 18,480,328.80
  5. Step 5: Solve for x
    x = 18,480,328.80/4,849.04
  6. Step 6: Final answer
    x = 3,811.13

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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.