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Finding the Fourth Proportional to 5,837.81, 8,758.04 and 2,551.84

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Solution

The fourth proportional to 5,837.81, 8,758.04 and 2,551.84 is: 3,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.81 : 8,758.04 = 2,551.84 : x
  2. Step 2: Convert to fraction form
    5,837.81/8,758.04 = 2,551.84/x
  3. Step 3: Cross multiply
    5,837.81x = 8,758.04 × 2,551.84
  4. Step 4: Simplify right side
    5,837.81x = 22,349,082.14
  5. Step 5: Solve for x
    x = 22,349,082.14/5,837.81
  6. Step 6: Final answer
    x = 3,828.34

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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.