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Finding the Fourth Proportional to 4,938.72, 7,358.53 and 4,806.48

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Solution

The fourth proportional to 4,938.72, 7,358.53 and 4,806.48 is: 7,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.72 : 7,358.53 = 4,806.48 : x
  2. Step 2: Convert to fraction form
    4,938.72/7,358.53 = 4,806.48/x
  3. Step 3: Cross multiply
    4,938.72x = 7,358.53 × 4,806.48
  4. Step 4: Simplify right side
    4,938.72x = 35,368,627.27
  5. Step 5: Solve for x
    x = 35,368,627.27/4,938.72
  6. Step 6: Final answer
    x = 7,161.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.