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Finding the Fourth Proportional to 4,348.69, 6,523.28 and 1,427.02

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Solution

The fourth proportional to 4,348.69, 6,523.28 and 1,427.02 is: 2,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.69 : 6,523.28 = 1,427.02 : x
  2. Step 2: Convert to fraction form
    4,348.69/6,523.28 = 1,427.02/x
  3. Step 3: Cross multiply
    4,348.69x = 6,523.28 × 1,427.02
  4. Step 4: Simplify right side
    4,348.69x = 9,308,840.96
  5. Step 5: Solve for x
    x = 9,308,840.96/4,348.69
  6. Step 6: Final answer
    x = 2,140.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.