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Finding the Fourth Proportional to 5,200.18, 7,800.28 and 3,456.34

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Solution

The fourth proportional to 5,200.18, 7,800.28 and 3,456.34 is: 5,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.18 : 7,800.28 = 3,456.34 : x
  2. Step 2: Convert to fraction form
    5,200.18/7,800.28 = 3,456.34/x
  3. Step 3: Cross multiply
    5,200.18x = 7,800.28 × 3,456.34
  4. Step 4: Simplify right side
    5,200.18x = 26,960,419.78
  5. Step 5: Solve for x
    x = 26,960,419.78/5,200.18
  6. Step 6: Final answer
    x = 5,184.52

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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.