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Finding the Fourth Proportional to 5,935.88, 8,898 and 4,827.57

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Solution

The fourth proportional to 5,935.88, 8,898 and 4,827.57 is: 7,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.88 : 8,898 = 4,827.57 : x
  2. Step 2: Convert to fraction form
    5,935.88/8,898 = 4,827.57/x
  3. Step 3: Cross multiply
    5,935.88x = 8,898 × 4,827.57
  4. Step 4: Simplify right side
    5,935.88x = 42,955,717.86
  5. Step 5: Solve for x
    x = 42,955,717.86/5,935.88
  6. Step 6: Final answer
    x = 7,236.63

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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.