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Finding the Fourth Proportional to 4,642.83, 6,402.22 and 3,511.16

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Solution

The fourth proportional to 4,642.83, 6,402.22 and 3,511.16 is: 4,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.83 : 6,402.22 = 3,511.16 : x
  2. Step 2: Convert to fraction form
    4,642.83/6,402.22 = 3,511.16/x
  3. Step 3: Cross multiply
    4,642.83x = 6,402.22 × 3,511.16
  4. Step 4: Simplify right side
    4,642.83x = 22,479,201.99
  5. Step 5: Solve for x
    x = 22,479,201.99/4,642.83
  6. Step 6: Final answer
    x = 4,841.70

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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.