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Finding the Fourth Proportional to 4,718.74, 6,512.25 and 2,623

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Solution

The fourth proportional to 4,718.74, 6,512.25 and 2,623 is: 3,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.74 : 6,512.25 = 2,623 : x
  2. Step 2: Convert to fraction form
    4,718.74/6,512.25 = 2,623/x
  3. Step 3: Cross multiply
    4,718.74x = 6,512.25 × 2,623
  4. Step 4: Simplify right side
    4,718.74x = 17,081,631.75
  5. Step 5: Solve for x
    x = 17,081,631.75/4,718.74
  6. Step 6: Final answer
    x = 3,619.96

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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.