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Finding the Fourth Proportional to 3,840.80, 5,753.10 and 3,430.40

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Solution

The fourth proportional to 3,840.80, 5,753.10 and 3,430.40 is: 5,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.80 : 5,753.10 = 3,430.40 : x
  2. Step 2: Convert to fraction form
    3,840.80/5,753.10 = 3,430.40/x
  3. Step 3: Cross multiply
    3,840.80x = 5,753.10 × 3,430.40
  4. Step 4: Simplify right side
    3,840.80x = 19,735,434.24
  5. Step 5: Solve for x
    x = 19,735,434.24/3,840.80
  6. Step 6: Final answer
    x = 5,138.37

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1.5x scale

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.