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Finding the Fourth Proportional to 5,103.90, 7,648.56 and 3,804.66

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Solution

The fourth proportional to 5,103.90, 7,648.56 and 3,804.66 is: 5,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.90 : 7,648.56 = 3,804.66 : x
  2. Step 2: Convert to fraction form
    5,103.90/7,648.56 = 3,804.66/x
  3. Step 3: Cross multiply
    5,103.90x = 7,648.56 × 3,804.66
  4. Step 4: Simplify right side
    5,103.90x = 29,100,170.29
  5. Step 5: Solve for x
    x = 29,100,170.29/5,103.90
  6. Step 6: Final answer
    x = 5,701.56

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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.