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Finding the Fourth Proportional to 5,188.42, 7,159.77 and 2,830.42

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Solution

The fourth proportional to 5,188.42, 7,159.77 and 2,830.42 is: 3,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.42 : 7,159.77 = 2,830.42 : x
  2. Step 2: Convert to fraction form
    5,188.42/7,159.77 = 2,830.42/x
  3. Step 3: Cross multiply
    5,188.42x = 7,159.77 × 2,830.42
  4. Step 4: Simplify right side
    5,188.42x = 20,265,156.20
  5. Step 5: Solve for x
    x = 20,265,156.20/5,188.42
  6. Step 6: Final answer
    x = 3,905.84

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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.