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Finding the Fourth Proportional to 4,916.76, 7,375.14 and 1,453.74

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Solution

The fourth proportional to 4,916.76, 7,375.14 and 1,453.74 is: 2,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.76 : 7,375.14 = 1,453.74 : x
  2. Step 2: Convert to fraction form
    4,916.76/7,375.14 = 1,453.74/x
  3. Step 3: Cross multiply
    4,916.76x = 7,375.14 × 1,453.74
  4. Step 4: Simplify right side
    4,916.76x = 10,721,536.02
  5. Step 5: Solve for x
    x = 10,721,536.02/4,916.76
  6. Step 6: Final answer
    x = 2,180.61

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Why These Related Problems?

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