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Finding the Fourth Proportional to 6,161.61, 8,502.93 and 3,509.00

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Solution

The fourth proportional to 6,161.61, 8,502.93 and 3,509.00 is: 4,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.61 : 8,502.93 = 3,509.00 : x
  2. Step 2: Convert to fraction form
    6,161.61/8,502.93 = 3,509.00/x
  3. Step 3: Cross multiply
    6,161.61x = 8,502.93 × 3,509.00
  4. Step 4: Simplify right side
    6,161.61x = 29,836,738.86
  5. Step 5: Solve for x
    x = 29,836,738.86/6,161.61
  6. Step 6: Final answer
    x = 4,842.36

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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.