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Finding the Fourth Proportional to 5,891.74, 8,837.40 and 1,509.23

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Solution

The fourth proportional to 5,891.74, 8,837.40 and 1,509.23 is: 2,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.74 : 8,837.40 = 1,509.23 : x
  2. Step 2: Convert to fraction form
    5,891.74/8,837.40 = 1,509.23/x
  3. Step 3: Cross multiply
    5,891.74x = 8,837.40 × 1,509.23
  4. Step 4: Simplify right side
    5,891.74x = 13,337,669.20
  5. Step 5: Solve for x
    x = 13,337,669.20/5,891.74
  6. Step 6: Final answer
    x = 2,263.79

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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.