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Finding the Fourth Proportional to 6,076.42, 8,385.54 and 3,719.86

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Solution

The fourth proportional to 6,076.42, 8,385.54 and 3,719.86 is: 5,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.42 : 8,385.54 = 3,719.86 : x
  2. Step 2: Convert to fraction form
    6,076.42/8,385.54 = 3,719.86/x
  3. Step 3: Cross multiply
    6,076.42x = 8,385.54 × 3,719.86
  4. Step 4: Simplify right side
    6,076.42x = 31,193,034.82
  5. Step 5: Solve for x
    x = 31,193,034.82/6,076.42
  6. Step 6: Final answer
    x = 5,133.46

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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.