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Finding the Fourth Proportional to 3,238, 4,470.12 and 2,181.32

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Solution

The fourth proportional to 3,238, 4,470.12 and 2,181.32 is: 3,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238 : 4,470.12 = 2,181.32 : x
  2. Step 2: Convert to fraction form
    3,238/4,470.12 = 2,181.32/x
  3. Step 3: Cross multiply
    3,238x = 4,470.12 × 2,181.32
  4. Step 4: Simplify right side
    3,238x = 9,750,762.16
  5. Step 5: Solve for x
    x = 9,750,762.16/3,238
  6. Step 6: Final answer
    x = 3,011.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.