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Finding the Fourth Proportional to 4,606.19, 6,910.63 and 1,486.13

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Solution

The fourth proportional to 4,606.19, 6,910.63 and 1,486.13 is: 2,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.19 : 6,910.63 = 1,486.13 : x
  2. Step 2: Convert to fraction form
    4,606.19/6,910.63 = 1,486.13/x
  3. Step 3: Cross multiply
    4,606.19x = 6,910.63 × 1,486.13
  4. Step 4: Simplify right side
    4,606.19x = 10,270,094.56
  5. Step 5: Solve for x
    x = 10,270,094.56/4,606.19
  6. Step 6: Final answer
    x = 2,229.63

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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.