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Finding the Fourth Proportional to 3,240.64, 4,862.38 and 1,509.27

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Solution

The fourth proportional to 3,240.64, 4,862.38 and 1,509.27 is: 2,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.64 : 4,862.38 = 1,509.27 : x
  2. Step 2: Convert to fraction form
    3,240.64/4,862.38 = 1,509.27/x
  3. Step 3: Cross multiply
    3,240.64x = 4,862.38 × 1,509.27
  4. Step 4: Simplify right side
    3,240.64x = 7,338,644.26
  5. Step 5: Solve for x
    x = 7,338,644.26/3,240.64
  6. Step 6: Final answer
    x = 2,264.57

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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.