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Finding the Fourth Proportional to 4,396, 6,592.65 and 2,894.95

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Solution

The fourth proportional to 4,396, 6,592.65 and 2,894.95 is: 4,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396 : 6,592.65 = 2,894.95 : x
  2. Step 2: Convert to fraction form
    4,396/6,592.65 = 2,894.95/x
  3. Step 3: Cross multiply
    4,396x = 6,592.65 × 2,894.95
  4. Step 4: Simplify right side
    4,396x = 19,085,392.12
  5. Step 5: Solve for x
    x = 19,085,392.12/4,396
  6. Step 6: Final answer
    x = 4,341.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.