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Finding the Fourth Proportional to 5,671.70, 8,506.01 and 3,588.57

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Solution

The fourth proportional to 5,671.70, 8,506.01 and 3,588.57 is: 5,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.70 : 8,506.01 = 3,588.57 : x
  2. Step 2: Convert to fraction form
    5,671.70/8,506.01 = 3,588.57/x
  3. Step 3: Cross multiply
    5,671.70x = 8,506.01 × 3,588.57
  4. Step 4: Simplify right side
    5,671.70x = 30,524,394.36
  5. Step 5: Solve for x
    x = 30,524,394.36/5,671.70
  6. Step 6: Final answer
    x = 5,381.88

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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.