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Finding the Fourth Proportional to 3,795.32, 5,242.53 and 2,909.60

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Solution

The fourth proportional to 3,795.32, 5,242.53 and 2,909.60 is: 4,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.32 : 5,242.53 = 2,909.60 : x
  2. Step 2: Convert to fraction form
    3,795.32/5,242.53 = 2,909.60/x
  3. Step 3: Cross multiply
    3,795.32x = 5,242.53 × 2,909.60
  4. Step 4: Simplify right side
    3,795.32x = 15,253,665.29
  5. Step 5: Solve for x
    x = 15,253,665.29/3,795.32
  6. Step 6: Final answer
    x = 4,019.07

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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.