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Finding the Fourth Proportional to 4,454.96, 6,133.56 and 4,156.88

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Solution

The fourth proportional to 4,454.96, 6,133.56 and 4,156.88 is: 5,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.96 : 6,133.56 = 4,156.88 : x
  2. Step 2: Convert to fraction form
    4,454.96/6,133.56 = 4,156.88/x
  3. Step 3: Cross multiply
    4,454.96x = 6,133.56 × 4,156.88
  4. Step 4: Simplify right side
    4,454.96x = 25,496,472.89
  5. Step 5: Solve for x
    x = 25,496,472.89/4,454.96
  6. Step 6: Final answer
    x = 5,723.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.