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Finding the Fourth Proportional to 5,339.64, 8,010.72 and 1,829.82

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Solution

The fourth proportional to 5,339.64, 8,010.72 and 1,829.82 is: 2,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.64 : 8,010.72 = 1,829.82 : x
  2. Step 2: Convert to fraction form
    5,339.64/8,010.72 = 1,829.82/x
  3. Step 3: Cross multiply
    5,339.64x = 8,010.72 × 1,829.82
  4. Step 4: Simplify right side
    5,339.64x = 14,658,175.67
  5. Step 5: Solve for x
    x = 14,658,175.67/5,339.64
  6. Step 6: Final answer
    x = 2,745.16

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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.