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Finding the Fourth Proportional to 5,188, 7,159.44 and 2,830

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Solution

The fourth proportional to 5,188, 7,159.44 and 2,830 is: 3,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188 : 7,159.44 = 2,830 : x
  2. Step 2: Convert to fraction form
    5,188/7,159.44 = 2,830/x
  3. Step 3: Cross multiply
    5,188x = 7,159.44 × 2,830
  4. Step 4: Simplify right side
    5,188x = 20,261,215.20
  5. Step 5: Solve for x
    x = 20,261,215.20/5,188
  6. Step 6: Final answer
    x = 3,905.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.