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Finding the Fourth Proportional to 5,772.96, 7,970.22 and 4,444.02

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Solution

The fourth proportional to 5,772.96, 7,970.22 and 4,444.02 is: 6,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.96 : 7,970.22 = 4,444.02 : x
  2. Step 2: Convert to fraction form
    5,772.96/7,970.22 = 4,444.02/x
  3. Step 3: Cross multiply
    5,772.96x = 7,970.22 × 4,444.02
  4. Step 4: Simplify right side
    5,772.96x = 35,419,817.08
  5. Step 5: Solve for x
    x = 35,419,817.08/5,772.96
  6. Step 6: Final answer
    x = 6,135.47

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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.