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Finding the Fourth Proportional to 4,927.95, 7,393.64 and 3,076.88

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Solution

The fourth proportional to 4,927.95, 7,393.64 and 3,076.88 is: 4,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.95 : 7,393.64 = 3,076.88 : x
  2. Step 2: Convert to fraction form
    4,927.95/7,393.64 = 3,076.88/x
  3. Step 3: Cross multiply
    4,927.95x = 7,393.64 × 3,076.88
  4. Step 4: Simplify right side
    4,927.95x = 22,749,290.69
  5. Step 5: Solve for x
    x = 22,749,290.69/4,927.95
  6. Step 6: Final answer
    x = 4,616.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.