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Finding the Fourth Proportional to 5,076, 6,996.24 and 4,188.96

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Solution

The fourth proportional to 5,076, 6,996.24 and 4,188.96 is: 5,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076 : 6,996.24 = 4,188.96 : x
  2. Step 2: Convert to fraction form
    5,076/6,996.24 = 4,188.96/x
  3. Step 3: Cross multiply
    5,076x = 6,996.24 × 4,188.96
  4. Step 4: Simplify right side
    5,076x = 29,306,969.51
  5. Step 5: Solve for x
    x = 29,306,969.51/5,076
  6. Step 6: Final answer
    x = 5,773.63

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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.