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Finding the Fourth Proportional to 3,784.83, 5,676.76 and 1,011.66

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Solution

The fourth proportional to 3,784.83, 5,676.76 and 1,011.66 is: 1,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.83 : 5,676.76 = 1,011.66 : x
  2. Step 2: Convert to fraction form
    3,784.83/5,676.76 = 1,011.66/x
  3. Step 3: Cross multiply
    3,784.83x = 5,676.76 × 1,011.66
  4. Step 4: Simplify right side
    3,784.83x = 5,742,951.02
  5. Step 5: Solve for x
    x = 5,742,951.02/3,784.83
  6. Step 6: Final answer
    x = 1,517.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.