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Finding the Fourth Proportional to 5,848.14, 8,771.04 and 2,149.11

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Solution

The fourth proportional to 5,848.14, 8,771.04 and 2,149.11 is: 3,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.14 : 8,771.04 = 2,149.11 : x
  2. Step 2: Convert to fraction form
    5,848.14/8,771.04 = 2,149.11/x
  3. Step 3: Cross multiply
    5,848.14x = 8,771.04 × 2,149.11
  4. Step 4: Simplify right side
    5,848.14x = 18,849,929.77
  5. Step 5: Solve for x
    x = 18,849,929.77/5,848.14
  6. Step 6: Final answer
    x = 3,223.24

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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.