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Finding the Fourth Proportional to 4,010, 5,534.28 and 3,076.88

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Solution

The fourth proportional to 4,010, 5,534.28 and 3,076.88 is: 4,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010 : 5,534.28 = 3,076.88 : x
  2. Step 2: Convert to fraction form
    4,010/5,534.28 = 3,076.88/x
  3. Step 3: Cross multiply
    4,010x = 5,534.28 × 3,076.88
  4. Step 4: Simplify right side
    4,010x = 17,028,315.45
  5. Step 5: Solve for x
    x = 17,028,315.45/4,010
  6. Step 6: Final answer
    x = 4,246.46

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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.