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Finding the Fourth Proportional to 6,003.66, 8,284.20 and 3,486

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Solution

The fourth proportional to 6,003.66, 8,284.20 and 3,486 is: 4,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.66 : 8,284.20 = 3,486 : x
  2. Step 2: Convert to fraction form
    6,003.66/8,284.20 = 3,486/x
  3. Step 3: Cross multiply
    6,003.66x = 8,284.20 × 3,486
  4. Step 4: Simplify right side
    6,003.66x = 28,878,721.20
  5. Step 5: Solve for x
    x = 28,878,721.20/6,003.66
  6. Step 6: Final answer
    x = 4,810.19

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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.