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Finding the Fourth Proportional to 3,494.46, 4,830.06 and 3,071.64

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Solution

The fourth proportional to 3,494.46, 4,830.06 and 3,071.64 is: 4,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.46 : 4,830.06 = 3,071.64 : x
  2. Step 2: Convert to fraction form
    3,494.46/4,830.06 = 3,071.64/x
  3. Step 3: Cross multiply
    3,494.46x = 4,830.06 × 3,071.64
  4. Step 4: Simplify right side
    3,494.46x = 14,836,205.50
  5. Step 5: Solve for x
    x = 14,836,205.50/3,494.46
  6. Step 6: Final answer
    x = 4,245.64

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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.