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Finding the Fourth Proportional to 5,388.50, 8,082.75 and 1,925.75

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Solution

The fourth proportional to 5,388.50, 8,082.75 and 1,925.75 is: 2,888.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.50 : 8,082.75 = 1,925.75 : x
  2. Step 2: Convert to fraction form
    5,388.50/8,082.75 = 1,925.75/x
  3. Step 3: Cross multiply
    5,388.50x = 8,082.75 × 1,925.75
  4. Step 4: Simplify right side
    5,388.50x = 15,565,355.81
  5. Step 5: Solve for x
    x = 15,565,355.81/5,388.50
  6. Step 6: Final answer
    x = 2,888.63

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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.