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Finding the Fourth Proportional to 4,138.02, 6,207.13 and 1,216.32

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Solution

The fourth proportional to 4,138.02, 6,207.13 and 1,216.32 is: 1,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.02 : 6,207.13 = 1,216.32 : x
  2. Step 2: Convert to fraction form
    4,138.02/6,207.13 = 1,216.32/x
  3. Step 3: Cross multiply
    4,138.02x = 6,207.13 × 1,216.32
  4. Step 4: Simplify right side
    4,138.02x = 7,549,856.36
  5. Step 5: Solve for x
    x = 7,549,856.36/4,138.02
  6. Step 6: Final answer
    x = 1,824.51

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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.