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Finding the Fourth Proportional to 3,781.59, 5,673.34 and 1,316.45

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Solution

The fourth proportional to 3,781.59, 5,673.34 and 1,316.45 is: 1,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.59 : 5,673.34 = 1,316.45 : x
  2. Step 2: Convert to fraction form
    3,781.59/5,673.34 = 1,316.45/x
  3. Step 3: Cross multiply
    3,781.59x = 5,673.34 × 1,316.45
  4. Step 4: Simplify right side
    3,781.59x = 7,468,684.27
  5. Step 5: Solve for x
    x = 7,468,684.27/3,781.59
  6. Step 6: Final answer
    x = 1,975.01

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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.