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Finding the Fourth Proportional to 4,966.91, 6,854.93 and 2,977.43

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Solution

The fourth proportional to 4,966.91, 6,854.93 and 2,977.43 is: 4,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.91 : 6,854.93 = 2,977.43 : x
  2. Step 2: Convert to fraction form
    4,966.91/6,854.93 = 2,977.43/x
  3. Step 3: Cross multiply
    4,966.91x = 6,854.93 × 2,977.43
  4. Step 4: Simplify right side
    4,966.91x = 20,410,025.07
  5. Step 5: Solve for x
    x = 20,410,025.07/4,966.91
  6. Step 6: Final answer
    x = 4,109.20

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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.