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Finding the Fourth Proportional to 6,013.83, 8,293.71 and 3,775.91

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Solution

The fourth proportional to 6,013.83, 8,293.71 and 3,775.91 is: 5,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.83 : 8,293.71 = 3,775.91 : x
  2. Step 2: Convert to fraction form
    6,013.83/8,293.71 = 3,775.91/x
  3. Step 3: Cross multiply
    6,013.83x = 8,293.71 × 3,775.91
  4. Step 4: Simplify right side
    6,013.83x = 31,316,283.65
  5. Step 5: Solve for x
    x = 31,316,283.65/6,013.83
  6. Step 6: Final answer
    x = 5,207.38

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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.