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Finding the Fourth Proportional to 5,607.57, 7,738.49 and 3,089.77

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Solution

The fourth proportional to 5,607.57, 7,738.49 and 3,089.77 is: 4,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.57 : 7,738.49 = 3,089.77 : x
  2. Step 2: Convert to fraction form
    5,607.57/7,738.49 = 3,089.77/x
  3. Step 3: Cross multiply
    5,607.57x = 7,738.49 × 3,089.77
  4. Step 4: Simplify right side
    5,607.57x = 23,910,154.25
  5. Step 5: Solve for x
    x = 23,910,154.25/5,607.57
  6. Step 6: Final answer
    x = 4,263.91

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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.