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Finding the Fourth Proportional to 3,238.04, 4,857.08 and 929.54

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Solution

The fourth proportional to 3,238.04, 4,857.08 and 929.54 is: 1,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.04 : 4,857.08 = 929.54 : x
  2. Step 2: Convert to fraction form
    3,238.04/4,857.08 = 929.54/x
  3. Step 3: Cross multiply
    3,238.04x = 4,857.08 × 929.54
  4. Step 4: Simplify right side
    3,238.04x = 4,514,857.64
  5. Step 5: Solve for x
    x = 4,514,857.64/3,238.04
  6. Step 6: Final answer
    x = 1,394.32

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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.