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Finding the Fourth Proportional to 4,653.68, 6,425.88 and 3,164.72

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Solution

The fourth proportional to 4,653.68, 6,425.88 and 3,164.72 is: 4,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.68 : 6,425.88 = 3,164.72 : x
  2. Step 2: Convert to fraction form
    4,653.68/6,425.88 = 3,164.72/x
  3. Step 3: Cross multiply
    4,653.68x = 6,425.88 × 3,164.72
  4. Step 4: Simplify right side
    4,653.68x = 20,336,110.95
  5. Step 5: Solve for x
    x = 20,336,110.95/4,653.68
  6. Step 6: Final answer
    x = 4,369.90

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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.