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Finding the Fourth Proportional to 5,871.34, 8,802.08 and 2,749.70

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Solution

The fourth proportional to 5,871.34, 8,802.08 and 2,749.70 is: 4,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.34 : 8,802.08 = 2,749.70 : x
  2. Step 2: Convert to fraction form
    5,871.34/8,802.08 = 2,749.70/x
  3. Step 3: Cross multiply
    5,871.34x = 8,802.08 × 2,749.70
  4. Step 4: Simplify right side
    5,871.34x = 24,203,079.38
  5. Step 5: Solve for x
    x = 24,203,079.38/5,871.34
  6. Step 6: Final answer
    x = 4,122.24

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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.