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Finding the Fourth Proportional to 5,871.84, 8,815.58 and 3,408.44

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Solution

The fourth proportional to 5,871.84, 8,815.58 and 3,408.44 is: 5,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.84 : 8,815.58 = 3,408.44 : x
  2. Step 2: Convert to fraction form
    5,871.84/8,815.58 = 3,408.44/x
  3. Step 3: Cross multiply
    5,871.84x = 8,815.58 × 3,408.44
  4. Step 4: Simplify right side
    5,871.84x = 30,047,314.38
  5. Step 5: Solve for x
    x = 30,047,314.38/5,871.84
  6. Step 6: Final answer
    x = 5,117.19

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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.