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Finding the Fourth Proportional to 5,589.99, 7,715.79 and 3,701.88

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Solution

The fourth proportional to 5,589.99, 7,715.79 and 3,701.88 is: 5,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.99 : 7,715.79 = 3,701.88 : x
  2. Step 2: Convert to fraction form
    5,589.99/7,715.79 = 3,701.88/x
  3. Step 3: Cross multiply
    5,589.99x = 7,715.79 × 3,701.88
  4. Step 4: Simplify right side
    5,589.99x = 28,562,928.69
  5. Step 5: Solve for x
    x = 28,562,928.69/5,589.99
  6. Step 6: Final answer
    x = 5,109.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.