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Finding the Fourth Proportional to 6,142.83, 8,477.10 and 3,348.33

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Solution

The fourth proportional to 6,142.83, 8,477.10 and 3,348.33 is: 4,620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.83 : 8,477.10 = 3,348.33 : x
  2. Step 2: Convert to fraction form
    6,142.83/8,477.10 = 3,348.33/x
  3. Step 3: Cross multiply
    6,142.83x = 8,477.10 × 3,348.33
  4. Step 4: Simplify right side
    6,142.83x = 28,384,128.24
  5. Step 5: Solve for x
    x = 28,384,128.24/6,142.83
  6. Step 6: Final answer
    x = 4,620.69

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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.