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Finding the Fourth Proportional to 4,887.94, 6,746.25 and 2,792.06

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Solution

The fourth proportional to 4,887.94, 6,746.25 and 2,792.06 is: 3,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.94 : 6,746.25 = 2,792.06 : x
  2. Step 2: Convert to fraction form
    4,887.94/6,746.25 = 2,792.06/x
  3. Step 3: Cross multiply
    4,887.94x = 6,746.25 × 2,792.06
  4. Step 4: Simplify right side
    4,887.94x = 18,835,934.78
  5. Step 5: Solve for x
    x = 18,835,934.78/4,887.94
  6. Step 6: Final answer
    x = 3,853.56

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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.