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Finding the Fourth Proportional to 5,740.74, 8,625.69 and 3,661.74

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Solution

The fourth proportional to 5,740.74, 8,625.69 and 3,661.74 is: 5,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.74 : 8,625.69 = 3,661.74 : x
  2. Step 2: Convert to fraction form
    5,740.74/8,625.69 = 3,661.74/x
  3. Step 3: Cross multiply
    5,740.74x = 8,625.69 × 3,661.74
  4. Step 4: Simplify right side
    5,740.74x = 31,585,034.10
  5. Step 5: Solve for x
    x = 31,585,034.10/5,740.74
  6. Step 6: Final answer
    x = 5,501.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.