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Finding the Fourth Proportional to 4,654.81, 6,422.91 and 2,977.70

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Solution

The fourth proportional to 4,654.81, 6,422.91 and 2,977.70 is: 4,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.81 : 6,422.91 = 2,977.70 : x
  2. Step 2: Convert to fraction form
    4,654.81/6,422.91 = 2,977.70/x
  3. Step 3: Cross multiply
    4,654.81x = 6,422.91 × 2,977.70
  4. Step 4: Simplify right side
    4,654.81x = 19,125,499.11
  5. Step 5: Solve for x
    x = 19,125,499.11/4,654.81
  6. Step 6: Final answer
    x = 4,108.76

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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.