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Finding the Fourth Proportional to 5,856.16, 8,784.24 and 2,777.44

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Solution

The fourth proportional to 5,856.16, 8,784.24 and 2,777.44 is: 4,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.16 : 8,784.24 = 2,777.44 : x
  2. Step 2: Convert to fraction form
    5,856.16/8,784.24 = 2,777.44/x
  3. Step 3: Cross multiply
    5,856.16x = 8,784.24 × 2,777.44
  4. Step 4: Simplify right side
    5,856.16x = 24,397,699.55
  5. Step 5: Solve for x
    x = 24,397,699.55/5,856.16
  6. Step 6: Final answer
    x = 4,166.16

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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.