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Finding the Fourth Proportional to 5,934.48, 8,189.52 and 3,282

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Solution

The fourth proportional to 5,934.48, 8,189.52 and 3,282 is: 4,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.48 : 8,189.52 = 3,282 : x
  2. Step 2: Convert to fraction form
    5,934.48/8,189.52 = 3,282/x
  3. Step 3: Cross multiply
    5,934.48x = 8,189.52 × 3,282
  4. Step 4: Simplify right side
    5,934.48x = 26,878,004.64
  5. Step 5: Solve for x
    x = 26,878,004.64/5,934.48
  6. Step 6: Final answer
    x = 4,529.13

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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.