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Finding the Fourth Proportional to 6,146.68, 8,483.62 and 3,493.80

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Solution

The fourth proportional to 6,146.68, 8,483.62 and 3,493.80 is: 4,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.68 : 8,483.62 = 3,493.80 : x
  2. Step 2: Convert to fraction form
    6,146.68/8,483.62 = 3,493.80/x
  3. Step 3: Cross multiply
    6,146.68x = 8,483.62 × 3,493.80
  4. Step 4: Simplify right side
    6,146.68x = 29,640,071.56
  5. Step 5: Solve for x
    x = 29,640,071.56/6,146.68
  6. Step 6: Final answer
    x = 4,822.13

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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.