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Finding the Fourth Proportional to 6,137.88, 8,470.50 and 3,485.52

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Solution

The fourth proportional to 6,137.88, 8,470.50 and 3,485.52 is: 4,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.88 : 8,470.50 = 3,485.52 : x
  2. Step 2: Convert to fraction form
    6,137.88/8,470.50 = 3,485.52/x
  3. Step 3: Cross multiply
    6,137.88x = 8,470.50 × 3,485.52
  4. Step 4: Simplify right side
    6,137.88x = 29,524,097.16
  5. Step 5: Solve for x
    x = 29,524,097.16/6,137.88
  6. Step 6: Final answer
    x = 4,810.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.