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Finding the Fourth Proportional to 3,816.91, 5,734.95 and 2,430.88

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Solution

The fourth proportional to 3,816.91, 5,734.95 and 2,430.88 is: 3,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.91 : 5,734.95 = 2,430.88 : x
  2. Step 2: Convert to fraction form
    3,816.91/5,734.95 = 2,430.88/x
  3. Step 3: Cross multiply
    3,816.91x = 5,734.95 × 2,430.88
  4. Step 4: Simplify right side
    3,816.91x = 13,940,975.26
  5. Step 5: Solve for x
    x = 13,940,975.26/3,816.91
  6. Step 6: Final answer
    x = 3,652.42

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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.