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Finding the Fourth Proportional to 3,809.55, 5,715.48 and 1,589.45

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Solution

The fourth proportional to 3,809.55, 5,715.48 and 1,589.45 is: 2,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.55 : 5,715.48 = 1,589.45 : x
  2. Step 2: Convert to fraction form
    3,809.55/5,715.48 = 1,589.45/x
  3. Step 3: Cross multiply
    3,809.55x = 5,715.48 × 1,589.45
  4. Step 4: Simplify right side
    3,809.55x = 9,084,471.63
  5. Step 5: Solve for x
    x = 9,084,471.63/3,809.55
  6. Step 6: Final answer
    x = 2,384.66

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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.