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Finding the Fourth Proportional to 3,781.58, 5,670.54 and 1,316.34

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Solution

The fourth proportional to 3,781.58, 5,670.54 and 1,316.34 is: 1,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.58 : 5,670.54 = 1,316.34 : x
  2. Step 2: Convert to fraction form
    3,781.58/5,670.54 = 1,316.34/x
  3. Step 3: Cross multiply
    3,781.58x = 5,670.54 × 1,316.34
  4. Step 4: Simplify right side
    3,781.58x = 7,464,358.62
  5. Step 5: Solve for x
    x = 7,464,358.62/3,781.58
  6. Step 6: Final answer
    x = 1,973.88

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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.