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Finding the Fourth Proportional to 5,798.67, 8,002.36 and 3,408.61

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Solution

The fourth proportional to 5,798.67, 8,002.36 and 3,408.61 is: 4,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.67 : 8,002.36 = 3,408.61 : x
  2. Step 2: Convert to fraction form
    5,798.67/8,002.36 = 3,408.61/x
  3. Step 3: Cross multiply
    5,798.67x = 8,002.36 × 3,408.61
  4. Step 4: Simplify right side
    5,798.67x = 27,276,886.69
  5. Step 5: Solve for x
    x = 27,276,886.69/5,798.67
  6. Step 6: Final answer
    x = 4,703.99

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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.