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Finding the Fourth Proportional to 5,856, 8,772.12 and 4,878.96

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Solution

The fourth proportional to 5,856, 8,772.12 and 4,878.96 is: 7,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856 : 8,772.12 = 4,878.96 : x
  2. Step 2: Convert to fraction form
    5,856/8,772.12 = 4,878.96/x
  3. Step 3: Cross multiply
    5,856x = 8,772.12 × 4,878.96
  4. Step 4: Simplify right side
    5,856x = 42,798,822.60
  5. Step 5: Solve for x
    x = 42,798,822.60/5,856
  6. Step 6: Final answer
    x = 7,308.54

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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.