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Finding the Fourth Proportional to 4,887.42, 6,746.13 and 3,899.49

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Solution

The fourth proportional to 4,887.42, 6,746.13 and 3,899.49 is: 5,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.42 : 6,746.13 = 3,899.49 : x
  2. Step 2: Convert to fraction form
    4,887.42/6,746.13 = 3,899.49/x
  3. Step 3: Cross multiply
    4,887.42x = 6,746.13 × 3,899.49
  4. Step 4: Simplify right side
    4,887.42x = 26,306,466.47
  5. Step 5: Solve for x
    x = 26,306,466.47/4,887.42
  6. Step 6: Final answer
    x = 5,382.49

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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.