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Finding the Fourth Proportional to 5,891.85, 8,837.91 and 1,509.30

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Solution

The fourth proportional to 5,891.85, 8,837.91 and 1,509.30 is: 2,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.85 : 8,837.91 = 1,509.30 : x
  2. Step 2: Convert to fraction form
    5,891.85/8,837.91 = 1,509.30/x
  3. Step 3: Cross multiply
    5,891.85x = 8,837.91 × 1,509.30
  4. Step 4: Simplify right side
    5,891.85x = 13,339,057.56
  5. Step 5: Solve for x
    x = 13,339,057.56/5,891.85
  6. Step 6: Final answer
    x = 2,263.98

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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.