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Finding the Fourth Proportional to 5,916.24, 8,879.76 and 4,062.76

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Solution

The fourth proportional to 5,916.24, 8,879.76 and 4,062.76 is: 6,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.24 : 8,879.76 = 4,062.76 : x
  2. Step 2: Convert to fraction form
    5,916.24/8,879.76 = 4,062.76/x
  3. Step 3: Cross multiply
    5,916.24x = 8,879.76 × 4,062.76
  4. Step 4: Simplify right side
    5,916.24x = 36,076,311.54
  5. Step 5: Solve for x
    x = 36,076,311.54/5,916.24
  6. Step 6: Final answer
    x = 6,097.84

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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.