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Finding the Fourth Proportional to 3,913.75, 5,368.82 and 3,701.90

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Solution

The fourth proportional to 3,913.75, 5,368.82 and 3,701.90 is: 5,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.75 : 5,368.82 = 3,701.90 : x
  2. Step 2: Convert to fraction form
    3,913.75/5,368.82 = 3,701.90/x
  3. Step 3: Cross multiply
    3,913.75x = 5,368.82 × 3,701.90
  4. Step 4: Simplify right side
    3,913.75x = 19,874,829.67
  5. Step 5: Solve for x
    x = 19,874,829.67/3,913.75
  6. Step 6: Final answer
    x = 5,078.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.