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Finding the Fourth Proportional to 3,898.75, 5,380.29 and 2,130.40

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Solution

The fourth proportional to 3,898.75, 5,380.29 and 2,130.40 is: 2,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.75 : 5,380.29 = 2,130.40 : x
  2. Step 2: Convert to fraction form
    3,898.75/5,380.29 = 2,130.40/x
  3. Step 3: Cross multiply
    3,898.75x = 5,380.29 × 2,130.40
  4. Step 4: Simplify right side
    3,898.75x = 11,462,169.82
  5. Step 5: Solve for x
    x = 11,462,169.82/3,898.75
  6. Step 6: Final answer
    x = 2,939.96

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1.5x scale

Why These Related Problems?

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