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Finding the Fourth Proportional to 4,768.86, 6,581.02 and 2,905.86

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Solution

The fourth proportional to 4,768.86, 6,581.02 and 2,905.86 is: 4,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.86 : 6,581.02 = 2,905.86 : x
  2. Step 2: Convert to fraction form
    4,768.86/6,581.02 = 2,905.86/x
  3. Step 3: Cross multiply
    4,768.86x = 6,581.02 × 2,905.86
  4. Step 4: Simplify right side
    4,768.86x = 19,123,522.78
  5. Step 5: Solve for x
    x = 19,123,522.78/4,768.86
  6. Step 6: Final answer
    x = 4,010.08

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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.