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Finding the Fourth Proportional to 4,118.52, 5,683.32 and 2,326

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Solution

The fourth proportional to 4,118.52, 5,683.32 and 2,326 is: 3,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.52 : 5,683.32 = 2,326 : x
  2. Step 2: Convert to fraction form
    4,118.52/5,683.32 = 2,326/x
  3. Step 3: Cross multiply
    4,118.52x = 5,683.32 × 2,326
  4. Step 4: Simplify right side
    4,118.52x = 13,219,402.32
  5. Step 5: Solve for x
    x = 13,219,402.32/4,118.52
  6. Step 6: Final answer
    x = 3,209.75

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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.