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Finding the Fourth Proportional to 3,238.14, 4,858.02 and 929.64

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Solution

The fourth proportional to 3,238.14, 4,858.02 and 929.64 is: 1,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.14 : 4,858.02 = 929.64 : x
  2. Step 2: Convert to fraction form
    3,238.14/4,858.02 = 929.64/x
  3. Step 3: Cross multiply
    3,238.14x = 4,858.02 × 929.64
  4. Step 4: Simplify right side
    3,238.14x = 4,516,209.71
  5. Step 5: Solve for x
    x = 4,516,209.71/3,238.14
  6. Step 6: Final answer
    x = 1,394.69

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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.