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Finding the Fourth Proportional to 3,778.85, 5,670.50 and 1,587.41

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Solution

The fourth proportional to 3,778.85, 5,670.50 and 1,587.41 is: 2,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.85 : 5,670.50 = 1,587.41 : x
  2. Step 2: Convert to fraction form
    3,778.85/5,670.50 = 1,587.41/x
  3. Step 3: Cross multiply
    3,778.85x = 5,670.50 × 1,587.41
  4. Step 4: Simplify right side
    3,778.85x = 9,001,408.41
  5. Step 5: Solve for x
    x = 9,001,408.41/3,778.85
  6. Step 6: Final answer
    x = 2,382.05

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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.