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Finding the Fourth Proportional to 2,927.13, 4,369.83 and 2,824.59

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Solution

The fourth proportional to 2,927.13, 4,369.83 and 2,824.59 is: 4,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.13 : 4,369.83 = 2,824.59 : x
  2. Step 2: Convert to fraction form
    2,927.13/4,369.83 = 2,824.59/x
  3. Step 3: Cross multiply
    2,927.13x = 4,369.83 × 2,824.59
  4. Step 4: Simplify right side
    2,927.13x = 12,342,978.12
  5. Step 5: Solve for x
    x = 12,342,978.12/2,927.13
  6. Step 6: Final answer
    x = 4,216.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.