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Finding the Fourth Proportional to 4,019.50, 5,545.41 and 2,506.38

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Solution

The fourth proportional to 4,019.50, 5,545.41 and 2,506.38 is: 3,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.50 : 5,545.41 = 2,506.38 : x
  2. Step 2: Convert to fraction form
    4,019.50/5,545.41 = 2,506.38/x
  3. Step 3: Cross multiply
    4,019.50x = 5,545.41 × 2,506.38
  4. Step 4: Simplify right side
    4,019.50x = 13,898,904.72
  5. Step 5: Solve for x
    x = 13,898,904.72/4,019.50
  6. Step 6: Final answer
    x = 3,457.87

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Why These Related Problems?

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