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Finding the Fourth Proportional to 4,708.47, 6,496.37 and 3,364.49

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Solution

The fourth proportional to 4,708.47, 6,496.37 and 3,364.49 is: 4,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.47 : 6,496.37 = 3,364.49 : x
  2. Step 2: Convert to fraction form
    4,708.47/6,496.37 = 3,364.49/x
  3. Step 3: Cross multiply
    4,708.47x = 6,496.37 × 3,364.49
  4. Step 4: Simplify right side
    4,708.47x = 21,856,939.42
  5. Step 5: Solve for x
    x = 21,856,939.42/4,708.47
  6. Step 6: Final answer
    x = 4,642.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.