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Finding the Fourth Proportional to 5,696.16, 8,545.44 and 1,800

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Solution

The fourth proportional to 5,696.16, 8,545.44 and 1,800 is: 2,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.16 : 8,545.44 = 1,800 : x
  2. Step 2: Convert to fraction form
    5,696.16/8,545.44 = 1,800/x
  3. Step 3: Cross multiply
    5,696.16x = 8,545.44 × 1,800
  4. Step 4: Simplify right side
    5,696.16x = 15,381,792
  5. Step 5: Solve for x
    x = 15,381,792/5,696.16
  6. Step 6: Final answer
    x = 2,700.38

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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.