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Finding the Fourth Proportional to 4,517.64, 6,776.37 and 1,886.56

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Solution

The fourth proportional to 4,517.64, 6,776.37 and 1,886.56 is: 2,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.64 : 6,776.37 = 1,886.56 : x
  2. Step 2: Convert to fraction form
    4,517.64/6,776.37 = 1,886.56/x
  3. Step 3: Cross multiply
    4,517.64x = 6,776.37 × 1,886.56
  4. Step 4: Simplify right side
    4,517.64x = 12,783,994.71
  5. Step 5: Solve for x
    x = 12,783,994.71/4,517.64
  6. Step 6: Final answer
    x = 2,829.80

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