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Finding the Fourth Proportional to 6,137.51, 8,469.77 and 3,485.77

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Solution

The fourth proportional to 6,137.51, 8,469.77 and 3,485.77 is: 4,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.51 : 8,469.77 = 3,485.77 : x
  2. Step 2: Convert to fraction form
    6,137.51/8,469.77 = 3,485.77/x
  3. Step 3: Cross multiply
    6,137.51x = 8,469.77 × 3,485.77
  4. Step 4: Simplify right side
    6,137.51x = 29,523,631.57
  5. Step 5: Solve for x
    x = 29,523,631.57/6,137.51
  6. Step 6: Final answer
    x = 4,810.36

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