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Finding the Fourth Proportional to 5,687.09, 7,850.43 and 4,887.24

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Solution

The fourth proportional to 5,687.09, 7,850.43 and 4,887.24 is: 6,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.09 : 7,850.43 = 4,887.24 : x
  2. Step 2: Convert to fraction form
    5,687.09/7,850.43 = 4,887.24/x
  3. Step 3: Cross multiply
    5,687.09x = 7,850.43 × 4,887.24
  4. Step 4: Simplify right side
    5,687.09x = 38,366,935.51
  5. Step 5: Solve for x
    x = 38,366,935.51/5,687.09
  6. Step 6: Final answer
    x = 6,746.32

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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.