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Finding the Fourth Proportional to 4,952.50, 6,834.62 and 3,339.58

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Solution

The fourth proportional to 4,952.50, 6,834.62 and 3,339.58 is: 4,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.50 : 6,834.62 = 3,339.58 : x
  2. Step 2: Convert to fraction form
    4,952.50/6,834.62 = 3,339.58/x
  3. Step 3: Cross multiply
    4,952.50x = 6,834.62 × 3,339.58
  4. Step 4: Simplify right side
    4,952.50x = 22,824,760.26
  5. Step 5: Solve for x
    x = 22,824,760.26/4,952.50
  6. Step 6: Final answer
    x = 4,608.74

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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.