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Finding the Fourth Proportional to 5,466.78, 7,545.06 and 3,478.23

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Solution

The fourth proportional to 5,466.78, 7,545.06 and 3,478.23 is: 4,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.78 : 7,545.06 = 3,478.23 : x
  2. Step 2: Convert to fraction form
    5,466.78/7,545.06 = 3,478.23/x
  3. Step 3: Cross multiply
    5,466.78x = 7,545.06 × 3,478.23
  4. Step 4: Simplify right side
    5,466.78x = 26,243,454.04
  5. Step 5: Solve for x
    x = 26,243,454.04/5,466.78
  6. Step 6: Final answer
    x = 4,800.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.