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Finding the Fourth Proportional to 5,737.66, 7,918.09 and 4,062.08

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Solution

The fourth proportional to 5,737.66, 7,918.09 and 4,062.08 is: 5,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.66 : 7,918.09 = 4,062.08 : x
  2. Step 2: Convert to fraction form
    5,737.66/7,918.09 = 4,062.08/x
  3. Step 3: Cross multiply
    5,737.66x = 7,918.09 × 4,062.08
  4. Step 4: Simplify right side
    5,737.66x = 32,163,924.67
  5. Step 5: Solve for x
    x = 32,163,924.67/5,737.66
  6. Step 6: Final answer
    x = 5,605.76

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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.