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Finding the Fourth Proportional to 4,815.76, 6,645.78 and 2,927.20

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Solution

The fourth proportional to 4,815.76, 6,645.78 and 2,927.20 is: 4,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.76 : 6,645.78 = 2,927.20 : x
  2. Step 2: Convert to fraction form
    4,815.76/6,645.78 = 2,927.20/x
  3. Step 3: Cross multiply
    4,815.76x = 6,645.78 × 2,927.20
  4. Step 4: Simplify right side
    4,815.76x = 19,453,527.22
  5. Step 5: Solve for x
    x = 19,453,527.22/4,815.76
  6. Step 6: Final answer
    x = 4,039.55

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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.