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Finding the Fourth Proportional to 3,780.42, 5,214.07 and 3,355.48

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Solution

The fourth proportional to 3,780.42, 5,214.07 and 3,355.48 is: 4,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.42 : 5,214.07 = 3,355.48 : x
  2. Step 2: Convert to fraction form
    3,780.42/5,214.07 = 3,355.48/x
  3. Step 3: Cross multiply
    3,780.42x = 5,214.07 × 3,355.48
  4. Step 4: Simplify right side
    3,780.42x = 17,495,690.83
  5. Step 5: Solve for x
    x = 17,495,690.83/3,780.42
  6. Step 6: Final answer
    x = 4,627.98

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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.