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Finding the Fourth Proportional to 5,805.65, 8,011.93 and 3,287.77

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Solution

The fourth proportional to 5,805.65, 8,011.93 and 3,287.77 is: 4,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.65 : 8,011.93 = 3,287.77 : x
  2. Step 2: Convert to fraction form
    5,805.65/8,011.93 = 3,287.77/x
  3. Step 3: Cross multiply
    5,805.65x = 8,011.93 × 3,287.77
  4. Step 4: Simplify right side
    5,805.65x = 26,341,343.04
  5. Step 5: Solve for x
    x = 26,341,343.04/5,805.65
  6. Step 6: Final answer
    x = 4,537.19

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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.