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Finding the Fourth Proportional to 4,545.93, 6,266.24 and 4,164.57

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Solution

The fourth proportional to 4,545.93, 6,266.24 and 4,164.57 is: 5,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545.93 : 6,266.24 = 4,164.57 : x
  2. Step 2: Convert to fraction form
    4,545.93/6,266.24 = 4,164.57/x
  3. Step 3: Cross multiply
    4,545.93x = 6,266.24 × 4,164.57
  4. Step 4: Simplify right side
    4,545.93x = 26,096,200.37
  5. Step 5: Solve for x
    x = 26,096,200.37/4,545.93
  6. Step 6: Final answer
    x = 5,740.56

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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.