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Finding the Fourth Proportional to 3,696.85, 5,545.18 and 1,505.57

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Solution

The fourth proportional to 3,696.85, 5,545.18 and 1,505.57 is: 2,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.85 : 5,545.18 = 1,505.57 : x
  2. Step 2: Convert to fraction form
    3,696.85/5,545.18 = 1,505.57/x
  3. Step 3: Cross multiply
    3,696.85x = 5,545.18 × 1,505.57
  4. Step 4: Simplify right side
    3,696.85x = 8,348,670.52
  5. Step 5: Solve for x
    x = 8,348,670.52/3,696.85
  6. Step 6: Final answer
    x = 2,258.32

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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.