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Finding the Fourth Proportional to 4,766.78, 7,152.96 and 1,844.94

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Solution

The fourth proportional to 4,766.78, 7,152.96 and 1,844.94 is: 2,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.78 : 7,152.96 = 1,844.94 : x
  2. Step 2: Convert to fraction form
    4,766.78/7,152.96 = 1,844.94/x
  3. Step 3: Cross multiply
    4,766.78x = 7,152.96 × 1,844.94
  4. Step 4: Simplify right side
    4,766.78x = 13,196,782.02
  5. Step 5: Solve for x
    x = 13,196,782.02/4,766.78
  6. Step 6: Final answer
    x = 2,768.49

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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.