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Finding the Fourth Proportional to 2,857.53, 4,263.18 and 2,545.88

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Solution

The fourth proportional to 2,857.53, 4,263.18 and 2,545.88 is: 3,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.53 : 4,263.18 = 2,545.88 : x
  2. Step 2: Convert to fraction form
    2,857.53/4,263.18 = 2,545.88/x
  3. Step 3: Cross multiply
    2,857.53x = 4,263.18 × 2,545.88
  4. Step 4: Simplify right side
    2,857.53x = 10,853,552.14
  5. Step 5: Solve for x
    x = 10,853,552.14/2,857.53
  6. Step 6: Final answer
    x = 3,798.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.