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Finding the Fourth Proportional to 4,673.78, 7,010.46 and 1,751.84

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Solution

The fourth proportional to 4,673.78, 7,010.46 and 1,751.84 is: 2,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.78 : 7,010.46 = 1,751.84 : x
  2. Step 2: Convert to fraction form
    4,673.78/7,010.46 = 1,751.84/x
  3. Step 3: Cross multiply
    4,673.78x = 7,010.46 × 1,751.84
  4. Step 4: Simplify right side
    4,673.78x = 12,281,204.25
  5. Step 5: Solve for x
    x = 12,281,204.25/4,673.78
  6. Step 6: Final answer
    x = 2,627.68

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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.