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Finding the Fourth Proportional to 5,354.92, 8,030.36 and 1,843.94

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Solution

The fourth proportional to 5,354.92, 8,030.36 and 1,843.94 is: 2,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.92 : 8,030.36 = 1,843.94 : x
  2. Step 2: Convert to fraction form
    5,354.92/8,030.36 = 1,843.94/x
  3. Step 3: Cross multiply
    5,354.92x = 8,030.36 × 1,843.94
  4. Step 4: Simplify right side
    5,354.92x = 14,807,502.02
  5. Step 5: Solve for x
    x = 14,807,502.02/5,354.92
  6. Step 6: Final answer
    x = 2,765.21

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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.