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Finding the Fourth Proportional to 4,509.12, 6,758 and 2,043.20

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Solution

The fourth proportional to 4,509.12, 6,758 and 2,043.20 is: 3,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.12 : 6,758 = 2,043.20 : x
  2. Step 2: Convert to fraction form
    4,509.12/6,758 = 2,043.20/x
  3. Step 3: Cross multiply
    4,509.12x = 6,758 × 2,043.20
  4. Step 4: Simplify right side
    4,509.12x = 13,807,945.60
  5. Step 5: Solve for x
    x = 13,807,945.60/4,509.12
  6. Step 6: Final answer
    x = 3,062.23

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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.