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Finding the Fourth Proportional to 5,891.97, 8,837.82 and 1,509.81

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Solution

The fourth proportional to 5,891.97, 8,837.82 and 1,509.81 is: 2,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.97 : 8,837.82 = 1,509.81 : x
  2. Step 2: Convert to fraction form
    5,891.97/8,837.82 = 1,509.81/x
  3. Step 3: Cross multiply
    5,891.97x = 8,837.82 × 1,509.81
  4. Step 4: Simplify right side
    5,891.97x = 13,343,429.01
  5. Step 5: Solve for x
    x = 13,343,429.01/5,891.97
  6. Step 6: Final answer
    x = 2,264.68

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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.