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Finding the Fourth Proportional to 5,339.61, 8,010.09 and 1,830.30

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Solution

The fourth proportional to 5,339.61, 8,010.09 and 1,830.30 is: 2,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.61 : 8,010.09 = 1,830.30 : x
  2. Step 2: Convert to fraction form
    5,339.61/8,010.09 = 1,830.30/x
  3. Step 3: Cross multiply
    5,339.61x = 8,010.09 × 1,830.30
  4. Step 4: Simplify right side
    5,339.61x = 14,660,867.73
  5. Step 5: Solve for x
    x = 14,660,867.73/5,339.61
  6. Step 6: Final answer
    x = 2,745.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.