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Finding the Fourth Proportional to 5,301.86, 7,947.32 and 2,381.00

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Solution

The fourth proportional to 5,301.86, 7,947.32 and 2,381.00 is: 3,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.86 : 7,947.32 = 2,381.00 : x
  2. Step 2: Convert to fraction form
    5,301.86/7,947.32 = 2,381.00/x
  3. Step 3: Cross multiply
    5,301.86x = 7,947.32 × 2,381.00
  4. Step 4: Simplify right side
    5,301.86x = 18,922,517.28
  5. Step 5: Solve for x
    x = 18,922,517.28/5,301.86
  6. Step 6: Final answer
    x = 3,569.04

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1.5x scale

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.