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Finding the Fourth Proportional to 5,188.24, 7,159.80 and 2,830.38

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Solution

The fourth proportional to 5,188.24, 7,159.80 and 2,830.38 is: 3,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.24 : 7,159.80 = 2,830.38 : x
  2. Step 2: Convert to fraction form
    5,188.24/7,159.80 = 2,830.38/x
  3. Step 3: Cross multiply
    5,188.24x = 7,159.80 × 2,830.38
  4. Step 4: Simplify right side
    5,188.24x = 20,264,954.72
  5. Step 5: Solve for x
    x = 20,264,954.72/5,188.24
  6. Step 6: Final answer
    x = 3,905.94

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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.