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Finding the Fourth Proportional to 5,618.25, 8,384.66 and 4,995.49

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Solution

The fourth proportional to 5,618.25, 8,384.66 and 4,995.49 is: 7,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.25 : 8,384.66 = 4,995.49 : x
  2. Step 2: Convert to fraction form
    5,618.25/8,384.66 = 4,995.49/x
  3. Step 3: Cross multiply
    5,618.25x = 8,384.66 × 4,995.49
  4. Step 4: Simplify right side
    5,618.25x = 41,885,439.24
  5. Step 5: Solve for x
    x = 41,885,439.24/5,618.25
  6. Step 6: Final answer
    x = 7,455.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.