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Finding the Fourth Proportional to 5,822.65, 8,035.64 and 3,464.47

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Solution

The fourth proportional to 5,822.65, 8,035.64 and 3,464.47 is: 4,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.65 : 8,035.64 = 3,464.47 : x
  2. Step 2: Convert to fraction form
    5,822.65/8,035.64 = 3,464.47/x
  3. Step 3: Cross multiply
    5,822.65x = 8,035.64 × 3,464.47
  4. Step 4: Simplify right side
    5,822.65x = 27,839,233.71
  5. Step 5: Solve for x
    x = 27,839,233.71/5,822.65
  6. Step 6: Final answer
    x = 4,781.20

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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.