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Finding the Fourth Proportional to 5,976.54, 8,965.32 and 1,594

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Solution

The fourth proportional to 5,976.54, 8,965.32 and 1,594 is: 2,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.54 : 8,965.32 = 1,594 : x
  2. Step 2: Convert to fraction form
    5,976.54/8,965.32 = 1,594/x
  3. Step 3: Cross multiply
    5,976.54x = 8,965.32 × 1,594
  4. Step 4: Simplify right side
    5,976.54x = 14,290,720.08
  5. Step 5: Solve for x
    x = 14,290,720.08/5,976.54
  6. Step 6: Final answer
    x = 2,391.14

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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.