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Finding the Fourth Proportional to 5,636.27, 7,778.35 and 3,398.46

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Solution

The fourth proportional to 5,636.27, 7,778.35 and 3,398.46 is: 4,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.27 : 7,778.35 = 3,398.46 : x
  2. Step 2: Convert to fraction form
    5,636.27/7,778.35 = 3,398.46/x
  3. Step 3: Cross multiply
    5,636.27x = 7,778.35 × 3,398.46
  4. Step 4: Simplify right side
    5,636.27x = 26,434,411.34
  5. Step 5: Solve for x
    x = 26,434,411.34/5,636.27
  6. Step 6: Final answer
    x = 4,690.05

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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.