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Finding the Fourth Proportional to 4,494.60, 6,199.88 and 3,498.30

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Solution

The fourth proportional to 4,494.60, 6,199.88 and 3,498.30 is: 4,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.60 : 6,199.88 = 3,498.30 : x
  2. Step 2: Convert to fraction form
    4,494.60/6,199.88 = 3,498.30/x
  3. Step 3: Cross multiply
    4,494.60x = 6,199.88 × 3,498.30
  4. Step 4: Simplify right side
    4,494.60x = 21,689,022.71
  5. Step 5: Solve for x
    x = 21,689,022.71/4,494.60
  6. Step 6: Final answer
    x = 4,825.57

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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.