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Finding the Fourth Proportional to 4,887.87, 6,746.17 and 2,792.00

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Solution

The fourth proportional to 4,887.87, 6,746.17 and 2,792.00 is: 3,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.87 : 6,746.17 = 2,792.00 : x
  2. Step 2: Convert to fraction form
    4,887.87/6,746.17 = 2,792.00/x
  3. Step 3: Cross multiply
    4,887.87x = 6,746.17 × 2,792.00
  4. Step 4: Simplify right side
    4,887.87x = 18,835,265.93
  5. Step 5: Solve for x
    x = 18,835,265.93/4,887.87
  6. Step 6: Final answer
    x = 3,853.47

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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.