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Finding the Fourth Proportional to 4,149.08, 5,733 and 3,316.64

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Solution

The fourth proportional to 4,149.08, 5,733 and 3,316.64 is: 4,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.08 : 5,733 = 3,316.64 : x
  2. Step 2: Convert to fraction form
    4,149.08/5,733 = 3,316.64/x
  3. Step 3: Cross multiply
    4,149.08x = 5,733 × 3,316.64
  4. Step 4: Simplify right side
    4,149.08x = 19,014,268.46
  5. Step 5: Solve for x
    x = 19,014,268.46/4,149.08
  6. Step 6: Final answer
    x = 4,582.77

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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.