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Finding the Fourth Proportional to 7,591.65, 11,389.49 and 2,594.01

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Solution

The fourth proportional to 7,591.65, 11,389.49 and 2,594.01 is: 3,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.65 : 11,389.49 = 2,594.01 : x
  2. Step 2: Convert to fraction form
    7,591.65/11,389.49 = 2,594.01/x
  3. Step 3: Cross multiply
    7,591.65x = 11,389.49 × 2,594.01
  4. Step 4: Simplify right side
    7,591.65x = 29,544,422.06
  5. Step 5: Solve for x
    x = 29,544,422.06/7,591.65
  6. Step 6: Final answer
    x = 3,891.70

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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.