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Finding the Fourth Proportional to 3,238.51, 4,854.12 and 1,288.44

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Solution

The fourth proportional to 3,238.51, 4,854.12 and 1,288.44 is: 1,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.51 : 4,854.12 = 1,288.44 : x
  2. Step 2: Convert to fraction form
    3,238.51/4,854.12 = 1,288.44/x
  3. Step 3: Cross multiply
    3,238.51x = 4,854.12 × 1,288.44
  4. Step 4: Simplify right side
    3,238.51x = 6,254,218.10
  5. Step 5: Solve for x
    x = 6,254,218.10/3,238.51
  6. Step 6: Final answer
    x = 1,931.20

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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.