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Finding the Fourth Proportional to 5,884.88, 8,828.04 and 5,098.64

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Solution

The fourth proportional to 5,884.88, 8,828.04 and 5,098.64 is: 7,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.88 : 8,828.04 = 5,098.64 : x
  2. Step 2: Convert to fraction form
    5,884.88/8,828.04 = 5,098.64/x
  3. Step 3: Cross multiply
    5,884.88x = 8,828.04 × 5,098.64
  4. Step 4: Simplify right side
    5,884.88x = 45,010,997.87
  5. Step 5: Solve for x
    x = 45,010,997.87/5,884.88
  6. Step 6: Final answer
    x = 7,648.58

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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.