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Finding the Fourth Proportional to 3,545.55, 5,320.31 and 1,696.46

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Solution

The fourth proportional to 3,545.55, 5,320.31 and 1,696.46 is: 2,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.55 : 5,320.31 = 1,696.46 : x
  2. Step 2: Convert to fraction form
    3,545.55/5,320.31 = 1,696.46/x
  3. Step 3: Cross multiply
    3,545.55x = 5,320.31 × 1,696.46
  4. Step 4: Simplify right side
    3,545.55x = 9,025,658.02
  5. Step 5: Solve for x
    x = 9,025,658.02/3,545.55
  6. Step 6: Final answer
    x = 2,545.63

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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.