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Finding the Fourth Proportional to 3,758.85, 5,189.57 and 2,415

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Solution

The fourth proportional to 3,758.85, 5,189.57 and 2,415 is: 3,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.85 : 5,189.57 = 2,415 : x
  2. Step 2: Convert to fraction form
    3,758.85/5,189.57 = 2,415/x
  3. Step 3: Cross multiply
    3,758.85x = 5,189.57 × 2,415
  4. Step 4: Simplify right side
    3,758.85x = 12,532,799.48
  5. Step 5: Solve for x
    x = 12,532,799.48/3,758.85
  6. Step 6: Final answer
    x = 3,334.21

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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.