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Finding the Fourth Proportional to 6,057.50, 9,087.06 and 3,135.02

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Solution

The fourth proportional to 6,057.50, 9,087.06 and 3,135.02 is: 4,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.50 : 9,087.06 = 3,135.02 : x
  2. Step 2: Convert to fraction form
    6,057.50/9,087.06 = 3,135.02/x
  3. Step 3: Cross multiply
    6,057.50x = 9,087.06 × 3,135.02
  4. Step 4: Simplify right side
    6,057.50x = 28,488,114.84
  5. Step 5: Solve for x
    x = 28,488,114.84/6,057.50
  6. Step 6: Final answer
    x = 4,702.95

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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.