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Finding the Fourth Proportional to 4,701.66, 7,047.63 and 2,232.78

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Solution

The fourth proportional to 4,701.66, 7,047.63 and 2,232.78 is: 3,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.66 : 7,047.63 = 2,232.78 : x
  2. Step 2: Convert to fraction form
    4,701.66/7,047.63 = 2,232.78/x
  3. Step 3: Cross multiply
    4,701.66x = 7,047.63 × 2,232.78
  4. Step 4: Simplify right side
    4,701.66x = 15,735,807.31
  5. Step 5: Solve for x
    x = 15,735,807.31/4,701.66
  6. Step 6: Final answer
    x = 3,346.86

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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.