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Finding the Fourth Proportional to 4,665, 6,437.70 and 2,802.36

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Solution

The fourth proportional to 4,665, 6,437.70 and 2,802.36 is: 3,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665 : 6,437.70 = 2,802.36 : x
  2. Step 2: Convert to fraction form
    4,665/6,437.70 = 2,802.36/x
  3. Step 3: Cross multiply
    4,665x = 6,437.70 × 2,802.36
  4. Step 4: Simplify right side
    4,665x = 18,040,752.97
  5. Step 5: Solve for x
    x = 18,040,752.97/4,665
  6. Step 6: Final answer
    x = 3,867.26

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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.