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Finding the Fourth Proportional to 4,486.31, 6,729.71 and 1,713.20

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Solution

The fourth proportional to 4,486.31, 6,729.71 and 1,713.20 is: 2,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.31 : 6,729.71 = 1,713.20 : x
  2. Step 2: Convert to fraction form
    4,486.31/6,729.71 = 1,713.20/x
  3. Step 3: Cross multiply
    4,486.31x = 6,729.71 × 1,713.20
  4. Step 4: Simplify right side
    4,486.31x = 11,529,347.43
  5. Step 5: Solve for x
    x = 11,529,347.43/4,486.31
  6. Step 6: Final answer
    x = 2,569.90

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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.