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Finding the Fourth Proportional to 4,573.75, 6,311.84 and 2,477.88

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Solution

The fourth proportional to 4,573.75, 6,311.84 and 2,477.88 is: 3,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.75 : 6,311.84 = 2,477.88 : x
  2. Step 2: Convert to fraction form
    4,573.75/6,311.84 = 2,477.88/x
  3. Step 3: Cross multiply
    4,573.75x = 6,311.84 × 2,477.88
  4. Step 4: Simplify right side
    4,573.75x = 15,639,956.73
  5. Step 5: Solve for x
    x = 15,639,956.73/4,573.75
  6. Step 6: Final answer
    x = 3,419.50

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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.