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Finding the Fourth Proportional to 4,509.80, 6,217.83 and 2,913.75

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Solution

The fourth proportional to 4,509.80, 6,217.83 and 2,913.75 is: 4,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.80 : 6,217.83 = 2,913.75 : x
  2. Step 2: Convert to fraction form
    4,509.80/6,217.83 = 2,913.75/x
  3. Step 3: Cross multiply
    4,509.80x = 6,217.83 × 2,913.75
  4. Step 4: Simplify right side
    4,509.80x = 18,117,202.16
  5. Step 5: Solve for x
    x = 18,117,202.16/4,509.80
  6. Step 6: Final answer
    x = 4,017.30

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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.