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Finding the Fourth Proportional to 5,607.87, 7,738.82 and 3,089.92

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Solution

The fourth proportional to 5,607.87, 7,738.82 and 3,089.92 is: 4,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.87 : 7,738.82 = 3,089.92 : x
  2. Step 2: Convert to fraction form
    5,607.87/7,738.82 = 3,089.92/x
  3. Step 3: Cross multiply
    5,607.87x = 7,738.82 × 3,089.92
  4. Step 4: Simplify right side
    5,607.87x = 23,912,334.69
  5. Step 5: Solve for x
    x = 23,912,334.69/5,607.87
  6. Step 6: Final answer
    x = 4,264.07

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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.