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Finding the Fourth Proportional to 4,966.88, 6,853.16 and 2,977.80

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Solution

The fourth proportional to 4,966.88, 6,853.16 and 2,977.80 is: 4,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.88 : 6,853.16 = 2,977.80 : x
  2. Step 2: Convert to fraction form
    4,966.88/6,853.16 = 2,977.80/x
  3. Step 3: Cross multiply
    4,966.88x = 6,853.16 × 2,977.80
  4. Step 4: Simplify right side
    4,966.88x = 20,407,339.85
  5. Step 5: Solve for x
    x = 20,407,339.85/4,966.88
  6. Step 6: Final answer
    x = 4,108.68

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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.