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Finding the Fourth Proportional to 3,225.71, 4,838.57 and 885.74

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Solution

The fourth proportional to 3,225.71, 4,838.57 and 885.74 is: 1,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.71 : 4,838.57 = 885.74 : x
  2. Step 2: Convert to fraction form
    3,225.71/4,838.57 = 885.74/x
  3. Step 3: Cross multiply
    3,225.71x = 4,838.57 × 885.74
  4. Step 4: Simplify right side
    3,225.71x = 4,285,710.56
  5. Step 5: Solve for x
    x = 4,285,710.56/3,225.71
  6. Step 6: Final answer
    x = 1,328.61

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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.