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Finding the Fourth Proportional to 4,884.92, 6,741.19 and 2,646.86

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Solution

The fourth proportional to 4,884.92, 6,741.19 and 2,646.86 is: 3,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.92 : 6,741.19 = 2,646.86 : x
  2. Step 2: Convert to fraction form
    4,884.92/6,741.19 = 2,646.86/x
  3. Step 3: Cross multiply
    4,884.92x = 6,741.19 × 2,646.86
  4. Step 4: Simplify right side
    4,884.92x = 17,842,986.16
  5. Step 5: Solve for x
    x = 17,842,986.16/4,884.92
  6. Step 6: Final answer
    x = 3,652.67

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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.