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Finding the Fourth Proportional to 4,648.52, 6,970.50 and 3,243.61

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Solution

The fourth proportional to 4,648.52, 6,970.50 and 3,243.61 is: 4,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.52 : 6,970.50 = 3,243.61 : x
  2. Step 2: Convert to fraction form
    4,648.52/6,970.50 = 3,243.61/x
  3. Step 3: Cross multiply
    4,648.52x = 6,970.50 × 3,243.61
  4. Step 4: Simplify right side
    4,648.52x = 22,609,566.08
  5. Step 5: Solve for x
    x = 22,609,566.08/4,648.52
  6. Step 6: Final answer
    x = 4,863.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.