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Finding the Fourth Proportional to 4,019.30, 5,331.84 and 4,019.30

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Solution

The fourth proportional to 4,019.30, 5,331.84 and 4,019.30 is: 5,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.30 : 5,331.84 = 4,019.30 : x
  2. Step 2: Convert to fraction form
    4,019.30/5,331.84 = 4,019.30/x
  3. Step 3: Cross multiply
    4,019.30x = 5,331.84 × 4,019.30
  4. Step 4: Simplify right side
    4,019.30x = 21,430,264.51
  5. Step 5: Solve for x
    x = 21,430,264.51/4,019.30
  6. Step 6: Final answer
    x = 5,331.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.