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Finding the Fourth Proportional to 5,874.92, 8,797.80 and 4,905.32

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Solution

The fourth proportional to 5,874.92, 8,797.80 and 4,905.32 is: 7,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.92 : 8,797.80 = 4,905.32 : x
  2. Step 2: Convert to fraction form
    5,874.92/8,797.80 = 4,905.32/x
  3. Step 3: Cross multiply
    5,874.92x = 8,797.80 × 4,905.32
  4. Step 4: Simplify right side
    5,874.92x = 43,156,024.30
  5. Step 5: Solve for x
    x = 43,156,024.30/5,874.92
  6. Step 6: Final answer
    x = 7,345.81

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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.