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Finding the Fourth Proportional to 5,947.88, 8,208.96 and 3,429.52

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Solution

The fourth proportional to 5,947.88, 8,208.96 and 3,429.52 is: 4,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.88 : 8,208.96 = 3,429.52 : x
  2. Step 2: Convert to fraction form
    5,947.88/8,208.96 = 3,429.52/x
  3. Step 3: Cross multiply
    5,947.88x = 8,208.96 × 3,429.52
  4. Step 4: Simplify right side
    5,947.88x = 28,152,792.50
  5. Step 5: Solve for x
    x = 28,152,792.50/5,947.88
  6. Step 6: Final answer
    x = 4,733.25

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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.