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Finding the Fourth Proportional to 5,809.42, 8,017.02 and 3,156.85

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Solution

The fourth proportional to 5,809.42, 8,017.02 and 3,156.85 is: 4,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.42 : 8,017.02 = 3,156.85 : x
  2. Step 2: Convert to fraction form
    5,809.42/8,017.02 = 3,156.85/x
  3. Step 3: Cross multiply
    5,809.42x = 8,017.02 × 3,156.85
  4. Step 4: Simplify right side
    5,809.42x = 25,308,529.59
  5. Step 5: Solve for x
    x = 25,308,529.59/5,809.42
  6. Step 6: Final answer
    x = 4,356.46

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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.