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Finding the Fourth Proportional to 4,693.32, 6,476.49 and 2,597.49

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Solution

The fourth proportional to 4,693.32, 6,476.49 and 2,597.49 is: 3,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.32 : 6,476.49 = 2,597.49 : x
  2. Step 2: Convert to fraction form
    4,693.32/6,476.49 = 2,597.49/x
  3. Step 3: Cross multiply
    4,693.32x = 6,476.49 × 2,597.49
  4. Step 4: Simplify right side
    4,693.32x = 16,822,618.01
  5. Step 5: Solve for x
    x = 16,822,618.01/4,693.32
  6. Step 6: Final answer
    x = 3,584.37

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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.