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Finding the Fourth Proportional to 4,947.72, 7,420.86 and 1,869

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Solution

The fourth proportional to 4,947.72, 7,420.86 and 1,869 is: 2,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.72 : 7,420.86 = 1,869 : x
  2. Step 2: Convert to fraction form
    4,947.72/7,420.86 = 1,869/x
  3. Step 3: Cross multiply
    4,947.72x = 7,420.86 × 1,869
  4. Step 4: Simplify right side
    4,947.72x = 13,869,587.34
  5. Step 5: Solve for x
    x = 13,869,587.34/4,947.72
  6. Step 6: Final answer
    x = 2,803.23

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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.