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Finding the Fourth Proportional to 4,953.50, 6,838.68 and 3,701.44

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Solution

The fourth proportional to 4,953.50, 6,838.68 and 3,701.44 is: 5,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.50 : 6,838.68 = 3,701.44 : x
  2. Step 2: Convert to fraction form
    4,953.50/6,838.68 = 3,701.44/x
  3. Step 3: Cross multiply
    4,953.50x = 6,838.68 × 3,701.44
  4. Step 4: Simplify right side
    4,953.50x = 25,312,963.70
  5. Step 5: Solve for x
    x = 25,312,963.70/4,953.50
  6. Step 6: Final answer
    x = 5,110.12

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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.