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Finding the Fourth Proportional to 4,635.80, 6,398.06 and 2,646.47

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Solution

The fourth proportional to 4,635.80, 6,398.06 and 2,646.47 is: 3,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.80 : 6,398.06 = 2,646.47 : x
  2. Step 2: Convert to fraction form
    4,635.80/6,398.06 = 2,646.47/x
  3. Step 3: Cross multiply
    4,635.80x = 6,398.06 × 2,646.47
  4. Step 4: Simplify right side
    4,635.80x = 16,932,276.61
  5. Step 5: Solve for x
    x = 16,932,276.61/4,635.80
  6. Step 6: Final answer
    x = 3,652.50

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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.