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Finding the Fourth Proportional to 4,851.57, 7,277.76 and 1,733.31

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Solution

The fourth proportional to 4,851.57, 7,277.76 and 1,733.31 is: 2,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.57 : 7,277.76 = 1,733.31 : x
  2. Step 2: Convert to fraction form
    4,851.57/7,277.76 = 1,733.31/x
  3. Step 3: Cross multiply
    4,851.57x = 7,277.76 × 1,733.31
  4. Step 4: Simplify right side
    4,851.57x = 12,614,614.19
  5. Step 5: Solve for x
    x = 12,614,614.19/4,851.57
  6. Step 6: Final answer
    x = 2,600.11

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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.