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Finding the Fourth Proportional to 3,986.75, 5,506.33 and 2,658.15

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Solution

The fourth proportional to 3,986.75, 5,506.33 and 2,658.15 is: 3,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.75 : 5,506.33 = 2,658.15 : x
  2. Step 2: Convert to fraction form
    3,986.75/5,506.33 = 2,658.15/x
  3. Step 3: Cross multiply
    3,986.75x = 5,506.33 × 2,658.15
  4. Step 4: Simplify right side
    3,986.75x = 14,636,649.43
  5. Step 5: Solve for x
    x = 14,636,649.43/3,986.75
  6. Step 6: Final answer
    x = 3,671.32

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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.