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Finding the Fourth Proportional to 3,601.96, 4,967.64 and 2,484.68

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Solution

The fourth proportional to 3,601.96, 4,967.64 and 2,484.68 is: 3,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.96 : 4,967.64 = 2,484.68 : x
  2. Step 2: Convert to fraction form
    3,601.96/4,967.64 = 2,484.68/x
  3. Step 3: Cross multiply
    3,601.96x = 4,967.64 × 2,484.68
  4. Step 4: Simplify right side
    3,601.96x = 12,342,995.76
  5. Step 5: Solve for x
    x = 12,342,995.76/3,601.96
  6. Step 6: Final answer
    x = 3,426.74

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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.