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Finding the Fourth Proportional to 5,665.02, 7,820.34 and 3,397.44

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Solution

The fourth proportional to 5,665.02, 7,820.34 and 3,397.44 is: 4,690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.02 : 7,820.34 = 3,397.44 : x
  2. Step 2: Convert to fraction form
    5,665.02/7,820.34 = 3,397.44/x
  3. Step 3: Cross multiply
    5,665.02x = 7,820.34 × 3,397.44
  4. Step 4: Simplify right side
    5,665.02x = 26,569,135.93
  5. Step 5: Solve for x
    x = 26,569,135.93/5,665.02
  6. Step 6: Final answer
    x = 4,690.03

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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.