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Finding the Fourth Proportional to 4,243.80, 5,856.93 and 4,107.72

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Solution

The fourth proportional to 4,243.80, 5,856.93 and 4,107.72 is: 5,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.80 : 5,856.93 = 4,107.72 : x
  2. Step 2: Convert to fraction form
    4,243.80/5,856.93 = 4,107.72/x
  3. Step 3: Cross multiply
    4,243.80x = 5,856.93 × 4,107.72
  4. Step 4: Simplify right side
    4,243.80x = 24,058,628.50
  5. Step 5: Solve for x
    x = 24,058,628.50/4,243.80
  6. Step 6: Final answer
    x = 5,669.12

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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.