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Finding the Fourth Proportional to 5,188.84, 7,159.62 and 3,093.16

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Solution

The fourth proportional to 5,188.84, 7,159.62 and 3,093.16 is: 4,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.84 : 7,159.62 = 3,093.16 : x
  2. Step 2: Convert to fraction form
    5,188.84/7,159.62 = 3,093.16/x
  3. Step 3: Cross multiply
    5,188.84x = 7,159.62 × 3,093.16
  4. Step 4: Simplify right side
    5,188.84x = 22,145,850.20
  5. Step 5: Solve for x
    x = 22,145,850.20/5,188.84
  6. Step 6: Final answer
    x = 4,267.98

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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.