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Finding the Fourth Proportional to 6,138.24, 8,470.77 and 3,485.64

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Solution

The fourth proportional to 6,138.24, 8,470.77 and 3,485.64 is: 4,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.24 : 8,470.77 = 3,485.64 : x
  2. Step 2: Convert to fraction form
    6,138.24/8,470.77 = 3,485.64/x
  3. Step 3: Cross multiply
    6,138.24x = 8,470.77 × 3,485.64
  4. Step 4: Simplify right side
    6,138.24x = 29,526,054.74
  5. Step 5: Solve for x
    x = 29,526,054.74/6,138.24
  6. Step 6: Final answer
    x = 4,810.18

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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.