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Finding the Fourth Proportional to 5,318.88, 7,977.12 and 2,030.80

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Solution

The fourth proportional to 5,318.88, 7,977.12 and 2,030.80 is: 3,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.88 : 7,977.12 = 2,030.80 : x
  2. Step 2: Convert to fraction form
    5,318.88/7,977.12 = 2,030.80/x
  3. Step 3: Cross multiply
    5,318.88x = 7,977.12 × 2,030.80
  4. Step 4: Simplify right side
    5,318.88x = 16,199,935.30
  5. Step 5: Solve for x
    x = 16,199,935.30/5,318.88
  6. Step 6: Final answer
    x = 3,045.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.