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Finding the Fourth Proportional to 3,833.12, 5,749.80 and 1,639.40

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Solution

The fourth proportional to 3,833.12, 5,749.80 and 1,639.40 is: 2,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.12 : 5,749.80 = 1,639.40 : x
  2. Step 2: Convert to fraction form
    3,833.12/5,749.80 = 1,639.40/x
  3. Step 3: Cross multiply
    3,833.12x = 5,749.80 × 1,639.40
  4. Step 4: Simplify right side
    3,833.12x = 9,426,222.12
  5. Step 5: Solve for x
    x = 9,426,222.12/3,833.12
  6. Step 6: Final answer
    x = 2,459.15

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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.