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Finding the Fourth Proportional to 4,076.68, 6,115.02 and 1,155.02

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Solution

The fourth proportional to 4,076.68, 6,115.02 and 1,155.02 is: 1,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.68 : 6,115.02 = 1,155.02 : x
  2. Step 2: Convert to fraction form
    4,076.68/6,115.02 = 1,155.02/x
  3. Step 3: Cross multiply
    4,076.68x = 6,115.02 × 1,155.02
  4. Step 4: Simplify right side
    4,076.68x = 7,062,970.40
  5. Step 5: Solve for x
    x = 7,062,970.40/4,076.68
  6. Step 6: Final answer
    x = 1,732.53

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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.