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Finding the Fourth Proportional to 5,649.16, 8,469.16 and 4,878.32

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Solution

The fourth proportional to 5,649.16, 8,469.16 and 4,878.32 is: 7,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.16 : 8,469.16 = 4,878.32 : x
  2. Step 2: Convert to fraction form
    5,649.16/8,469.16 = 4,878.32/x
  3. Step 3: Cross multiply
    5,649.16x = 8,469.16 × 4,878.32
  4. Step 4: Simplify right side
    5,649.16x = 41,315,272.61
  5. Step 5: Solve for x
    x = 41,315,272.61/5,649.16
  6. Step 6: Final answer
    x = 7,313.52

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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.