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Finding the Fourth Proportional to 5,349.12, 8,020.78 and 2,977.93

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Solution

The fourth proportional to 5,349.12, 8,020.78 and 2,977.93 is: 4,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.12 : 8,020.78 = 2,977.93 : x
  2. Step 2: Convert to fraction form
    5,349.12/8,020.78 = 2,977.93/x
  3. Step 3: Cross multiply
    5,349.12x = 8,020.78 × 2,977.93
  4. Step 4: Simplify right side
    5,349.12x = 23,885,321.39
  5. Step 5: Solve for x
    x = 23,885,321.39/5,349.12
  6. Step 6: Final answer
    x = 4,465.28

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