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Finding the Fourth Proportional to 4,765.56, 7,156.52 and 2,927.48

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Solution

The fourth proportional to 4,765.56, 7,156.52 and 2,927.48 is: 4,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.56 : 7,156.52 = 2,927.48 : x
  2. Step 2: Convert to fraction form
    4,765.56/7,156.52 = 2,927.48/x
  3. Step 3: Cross multiply
    4,765.56x = 7,156.52 × 2,927.48
  4. Step 4: Simplify right side
    4,765.56x = 20,950,569.17
  5. Step 5: Solve for x
    x = 20,950,569.17/4,765.56
  6. Step 6: Final answer
    x = 4,396.24

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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.