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Finding the Fourth Proportional to 3,284.76, 4,924.14 and 1,335.64

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Solution

The fourth proportional to 3,284.76, 4,924.14 and 1,335.64 is: 2,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.76 : 4,924.14 = 1,335.64 : x
  2. Step 2: Convert to fraction form
    3,284.76/4,924.14 = 1,335.64/x
  3. Step 3: Cross multiply
    3,284.76x = 4,924.14 × 1,335.64
  4. Step 4: Simplify right side
    3,284.76x = 6,576,878.35
  5. Step 5: Solve for x
    x = 6,576,878.35/3,284.76
  6. Step 6: Final answer
    x = 2,002.24

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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.