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Finding the Fourth Proportional to 4,089.16, 6,161.07 and 3,699.66

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Solution

The fourth proportional to 4,089.16, 6,161.07 and 3,699.66 is: 5,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.16 : 6,161.07 = 3,699.66 : x
  2. Step 2: Convert to fraction form
    4,089.16/6,161.07 = 3,699.66/x
  3. Step 3: Cross multiply
    4,089.16x = 6,161.07 × 3,699.66
  4. Step 4: Simplify right side
    4,089.16x = 22,793,814.93
  5. Step 5: Solve for x
    x = 22,793,814.93/4,089.16
  6. Step 6: Final answer
    x = 5,574.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.