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Finding the Fourth Proportional to 4,838.52, 7,257.79 and 1,328.57

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Solution

The fourth proportional to 4,838.52, 7,257.79 and 1,328.57 is: 1,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.52 : 7,257.79 = 1,328.57 : x
  2. Step 2: Convert to fraction form
    4,838.52/7,257.79 = 1,328.57/x
  3. Step 3: Cross multiply
    4,838.52x = 7,257.79 × 1,328.57
  4. Step 4: Simplify right side
    4,838.52x = 9,642,495.22
  5. Step 5: Solve for x
    x = 9,642,495.22/4,838.52
  6. Step 6: Final answer
    x = 1,992.86

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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.