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Finding the Fourth Proportional to 4,224.32, 6,335.84 and 1,488.32

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Solution

The fourth proportional to 4,224.32, 6,335.84 and 1,488.32 is: 2,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.32 : 6,335.84 = 1,488.32 : x
  2. Step 2: Convert to fraction form
    4,224.32/6,335.84 = 1,488.32/x
  3. Step 3: Cross multiply
    4,224.32x = 6,335.84 × 1,488.32
  4. Step 4: Simplify right side
    4,224.32x = 9,429,757.39
  5. Step 5: Solve for x
    x = 9,429,757.39/4,224.32
  6. Step 6: Final answer
    x = 2,232.25

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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.