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Finding the Fourth Proportional to 4,636.34, 6,398.10 and 2,511.83

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Solution

The fourth proportional to 4,636.34, 6,398.10 and 2,511.83 is: 3,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.34 : 6,398.10 = 2,511.83 : x
  2. Step 2: Convert to fraction form
    4,636.34/6,398.10 = 2,511.83/x
  3. Step 3: Cross multiply
    4,636.34x = 6,398.10 × 2,511.83
  4. Step 4: Simplify right side
    4,636.34x = 16,070,955.52
  5. Step 5: Solve for x
    x = 16,070,955.52/4,636.34
  6. Step 6: Final answer
    x = 3,466.30

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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.