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Finding the Fourth Proportional to 5,976.65, 8,965.18 and 1,594.11

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Solution

The fourth proportional to 5,976.65, 8,965.18 and 1,594.11 is: 2,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.65 : 8,965.18 = 1,594.11 : x
  2. Step 2: Convert to fraction form
    5,976.65/8,965.18 = 1,594.11/x
  3. Step 3: Cross multiply
    5,976.65x = 8,965.18 × 1,594.11
  4. Step 4: Simplify right side
    5,976.65x = 14,291,483.09
  5. Step 5: Solve for x
    x = 14,291,483.09/5,976.65
  6. Step 6: Final answer
    x = 2,391.22

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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.