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Finding the Fourth Proportional to 5,809.97, 8,017.54 and 3,157.32

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Solution

The fourth proportional to 5,809.97, 8,017.54 and 3,157.32 is: 4,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.97 : 8,017.54 = 3,157.32 : x
  2. Step 2: Convert to fraction form
    5,809.97/8,017.54 = 3,157.32/x
  3. Step 3: Cross multiply
    5,809.97x = 8,017.54 × 3,157.32
  4. Step 4: Simplify right side
    5,809.97x = 25,313,923.61
  5. Step 5: Solve for x
    x = 25,313,923.61/5,809.97
  6. Step 6: Final answer
    x = 4,356.98

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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.