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Finding the Fourth Proportional to 3,740.96, 5,613.84 and 2,509.76

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Solution

The fourth proportional to 3,740.96, 5,613.84 and 2,509.76 is: 3,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.96 : 5,613.84 = 2,509.76 : x
  2. Step 2: Convert to fraction form
    3,740.96/5,613.84 = 2,509.76/x
  3. Step 3: Cross multiply
    3,740.96x = 5,613.84 × 2,509.76
  4. Step 4: Simplify right side
    3,740.96x = 14,089,391.08
  5. Step 5: Solve for x
    x = 14,089,391.08/3,740.96
  6. Step 6: Final answer
    x = 3,766.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.