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Finding the Fourth Proportional to 4,597.57, 6,344.76 and 2,828.17

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Solution

The fourth proportional to 4,597.57, 6,344.76 and 2,828.17 is: 3,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.57 : 6,344.76 = 2,828.17 : x
  2. Step 2: Convert to fraction form
    4,597.57/6,344.76 = 2,828.17/x
  3. Step 3: Cross multiply
    4,597.57x = 6,344.76 × 2,828.17
  4. Step 4: Simplify right side
    4,597.57x = 17,944,059.89
  5. Step 5: Solve for x
    x = 17,944,059.89/4,597.57
  6. Step 6: Final answer
    x = 3,902.94

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1.5x scale

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.