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Finding the Fourth Proportional to 5,574.15, 7,688.05 and 4,081.53

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Solution

The fourth proportional to 5,574.15, 7,688.05 and 4,081.53 is: 5,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.15 : 7,688.05 = 4,081.53 : x
  2. Step 2: Convert to fraction form
    5,574.15/7,688.05 = 4,081.53/x
  3. Step 3: Cross multiply
    5,574.15x = 7,688.05 × 4,081.53
  4. Step 4: Simplify right side
    5,574.15x = 31,379,006.72
  5. Step 5: Solve for x
    x = 31,379,006.72/5,574.15
  6. Step 6: Final answer
    x = 5,629.38

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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.