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Finding the Fourth Proportional to 5,871.69, 8,102.84 and 3,219.35

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Solution

The fourth proportional to 5,871.69, 8,102.84 and 3,219.35 is: 4,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.69 : 8,102.84 = 3,219.35 : x
  2. Step 2: Convert to fraction form
    5,871.69/8,102.84 = 3,219.35/x
  3. Step 3: Cross multiply
    5,871.69x = 8,102.84 × 3,219.35
  4. Step 4: Simplify right side
    5,871.69x = 26,085,821.34
  5. Step 5: Solve for x
    x = 26,085,821.34/5,871.69
  6. Step 6: Final answer
    x = 4,442.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.