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Finding the Fourth Proportional to 3,782.02, 5,674.38 and 1,316.74

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Solution

The fourth proportional to 3,782.02, 5,674.38 and 1,316.74 is: 1,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.02 : 5,674.38 = 1,316.74 : x
  2. Step 2: Convert to fraction form
    3,782.02/5,674.38 = 1,316.74/x
  3. Step 3: Cross multiply
    3,782.02x = 5,674.38 × 1,316.74
  4. Step 4: Simplify right side
    3,782.02x = 7,471,683.12
  5. Step 5: Solve for x
    x = 7,471,683.12/3,782.02
  6. Step 6: Final answer
    x = 1,975.58

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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.