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Finding the Fourth Proportional to 4,977.68, 6,866.91 and 2,984.81

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Solution

The fourth proportional to 4,977.68, 6,866.91 and 2,984.81 is: 4,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.68 : 6,866.91 = 2,984.81 : x
  2. Step 2: Convert to fraction form
    4,977.68/6,866.91 = 2,984.81/x
  3. Step 3: Cross multiply
    4,977.68x = 6,866.91 × 2,984.81
  4. Step 4: Simplify right side
    4,977.68x = 20,496,387.30
  5. Step 5: Solve for x
    x = 20,496,387.30/4,977.68
  6. Step 6: Final answer
    x = 4,117.66

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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.