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Finding the Fourth Proportional to 4,884.16, 6,743.28 and 4,359.28

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Solution

The fourth proportional to 4,884.16, 6,743.28 and 4,359.28 is: 6,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.16 : 6,743.28 = 4,359.28 : x
  2. Step 2: Convert to fraction form
    4,884.16/6,743.28 = 4,359.28/x
  3. Step 3: Cross multiply
    4,884.16x = 6,743.28 × 4,359.28
  4. Step 4: Simplify right side
    4,884.16x = 29,395,845.64
  5. Step 5: Solve for x
    x = 29,395,845.64/4,884.16
  6. Step 6: Final answer
    x = 6,018.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.