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Finding the Fourth Proportional to 4,966.74, 7,445.79 and 2,776.50

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Solution

The fourth proportional to 4,966.74, 7,445.79 and 2,776.50 is: 4,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.74 : 7,445.79 = 2,776.50 : x
  2. Step 2: Convert to fraction form
    4,966.74/7,445.79 = 2,776.50/x
  3. Step 3: Cross multiply
    4,966.74x = 7,445.79 × 2,776.50
  4. Step 4: Simplify right side
    4,966.74x = 20,673,235.94
  5. Step 5: Solve for x
    x = 20,673,235.94/4,966.74
  6. Step 6: Final answer
    x = 4,162.34

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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.