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Finding the Fourth Proportional to 5,142.18, 7,700.97 and 4,883.84

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Solution

The fourth proportional to 5,142.18, 7,700.97 and 4,883.84 is: 7,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.18 : 7,700.97 = 4,883.84 : x
  2. Step 2: Convert to fraction form
    5,142.18/7,700.97 = 4,883.84/x
  3. Step 3: Cross multiply
    5,142.18x = 7,700.97 × 4,883.84
  4. Step 4: Simplify right side
    5,142.18x = 37,610,357.33
  5. Step 5: Solve for x
    x = 37,610,357.33/5,142.18
  6. Step 6: Final answer
    x = 7,314.08

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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.