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Finding the Fourth Proportional to 4,635.84, 6,398.10 and 2,646.57

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Solution

The fourth proportional to 4,635.84, 6,398.10 and 2,646.57 is: 3,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.84 : 6,398.10 = 2,646.57 : x
  2. Step 2: Convert to fraction form
    4,635.84/6,398.10 = 2,646.57/x
  3. Step 3: Cross multiply
    4,635.84x = 6,398.10 × 2,646.57
  4. Step 4: Simplify right side
    4,635.84x = 16,933,019.52
  5. Step 5: Solve for x
    x = 16,933,019.52/4,635.84
  6. Step 6: Final answer
    x = 3,652.63

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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.