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Finding the Fourth Proportional to 5,103.90, 7,658.28 and 3,025.08

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Solution

The fourth proportional to 5,103.90, 7,658.28 and 3,025.08 is: 4,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.90 : 7,658.28 = 3,025.08 : x
  2. Step 2: Convert to fraction form
    5,103.90/7,658.28 = 3,025.08/x
  3. Step 3: Cross multiply
    5,103.90x = 7,658.28 × 3,025.08
  4. Step 4: Simplify right side
    5,103.90x = 23,166,909.66
  5. Step 5: Solve for x
    x = 23,166,909.66/5,103.90
  6. Step 6: Final answer
    x = 4,539.06

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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.