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Finding the Fourth Proportional to 5,798.16, 8,000.64 and 3,441.24

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Solution

The fourth proportional to 5,798.16, 8,000.64 and 3,441.24 is: 4,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.16 : 8,000.64 = 3,441.24 : x
  2. Step 2: Convert to fraction form
    5,798.16/8,000.64 = 3,441.24/x
  3. Step 3: Cross multiply
    5,798.16x = 8,000.64 × 3,441.24
  4. Step 4: Simplify right side
    5,798.16x = 27,532,122.39
  5. Step 5: Solve for x
    x = 27,532,122.39/5,798.16
  6. Step 6: Final answer
    x = 4,748.42

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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.