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Finding the Fourth Proportional to 4,966.35, 6,854.09 and 2,977.09

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Solution

The fourth proportional to 4,966.35, 6,854.09 and 2,977.09 is: 4,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.35 : 6,854.09 = 2,977.09 : x
  2. Step 2: Convert to fraction form
    4,966.35/6,854.09 = 2,977.09/x
  3. Step 3: Cross multiply
    4,966.35x = 6,854.09 × 2,977.09
  4. Step 4: Simplify right side
    4,966.35x = 20,405,210.78
  5. Step 5: Solve for x
    x = 20,405,210.78/4,966.35
  6. Step 6: Final answer
    x = 4,108.70

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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.