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Finding the Fourth Proportional to 5,239.75, 7,228.80 and 3,000.42

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Solution

The fourth proportional to 5,239.75, 7,228.80 and 3,000.42 is: 4,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.75 : 7,228.80 = 3,000.42 : x
  2. Step 2: Convert to fraction form
    5,239.75/7,228.80 = 3,000.42/x
  3. Step 3: Cross multiply
    5,239.75x = 7,228.80 × 3,000.42
  4. Step 4: Simplify right side
    5,239.75x = 21,689,384.95
  5. Step 5: Solve for x
    x = 21,689,384.95/5,239.75
  6. Step 6: Final answer
    x = 4,139.40

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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.