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Finding the Fourth Proportional to 3,830.90, 5,746.89 and 1,233.50

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Solution

The fourth proportional to 3,830.90, 5,746.89 and 1,233.50 is: 1,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.90 : 5,746.89 = 1,233.50 : x
  2. Step 2: Convert to fraction form
    3,830.90/5,746.89 = 1,233.50/x
  3. Step 3: Cross multiply
    3,830.90x = 5,746.89 × 1,233.50
  4. Step 4: Simplify right side
    3,830.90x = 7,088,788.82
  5. Step 5: Solve for x
    x = 7,088,788.82/3,830.90
  6. Step 6: Final answer
    x = 1,850.42

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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.