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Finding the Fourth Proportional to 4,624.96, 6,384.52 and 2,948.61

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Solution

The fourth proportional to 4,624.96, 6,384.52 and 2,948.61 is: 4,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.96 : 6,384.52 = 2,948.61 : x
  2. Step 2: Convert to fraction form
    4,624.96/6,384.52 = 2,948.61/x
  3. Step 3: Cross multiply
    4,624.96x = 6,384.52 × 2,948.61
  4. Step 4: Simplify right side
    4,624.96x = 18,825,469.19
  5. Step 5: Solve for x
    x = 18,825,469.19/4,624.96
  6. Step 6: Final answer
    x = 4,070.41

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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.