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Finding the Fourth Proportional to 3,938.60, 5,906.52 and 1,164.53

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Solution

The fourth proportional to 3,938.60, 5,906.52 and 1,164.53 is: 1,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.60 : 5,906.52 = 1,164.53 : x
  2. Step 2: Convert to fraction form
    3,938.60/5,906.52 = 1,164.53/x
  3. Step 3: Cross multiply
    3,938.60x = 5,906.52 × 1,164.53
  4. Step 4: Simplify right side
    3,938.60x = 6,878,334.50
  5. Step 5: Solve for x
    x = 6,878,334.50/3,938.60
  6. Step 6: Final answer
    x = 1,746.39

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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.