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Finding the Fourth Proportional to 5,498.86, 7,588.57 and 3,108.92

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Solution

The fourth proportional to 5,498.86, 7,588.57 and 3,108.92 is: 4,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.86 : 7,588.57 = 3,108.92 : x
  2. Step 2: Convert to fraction form
    5,498.86/7,588.57 = 3,108.92/x
  3. Step 3: Cross multiply
    5,498.86x = 7,588.57 × 3,108.92
  4. Step 4: Simplify right side
    5,498.86x = 23,592,219.10
  5. Step 5: Solve for x
    x = 23,592,219.10/5,498.86
  6. Step 6: Final answer
    x = 4,290.39

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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.