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Finding the Fourth Proportional to 4,708.84, 6,494.59 and 3,449.44

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Solution

The fourth proportional to 4,708.84, 6,494.59 and 3,449.44 is: 4,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.84 : 6,494.59 = 3,449.44 : x
  2. Step 2: Convert to fraction form
    4,708.84/6,494.59 = 3,449.44/x
  3. Step 3: Cross multiply
    4,708.84x = 6,494.59 × 3,449.44
  4. Step 4: Simplify right side
    4,708.84x = 22,402,698.53
  5. Step 5: Solve for x
    x = 22,402,698.53/4,708.84
  6. Step 6: Final answer
    x = 4,757.58

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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.