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Finding the Fourth Proportional to 3,792.34, 5,690.31 and 1,712.98

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Solution

The fourth proportional to 3,792.34, 5,690.31 and 1,712.98 is: 2,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.34 : 5,690.31 = 1,712.98 : x
  2. Step 2: Convert to fraction form
    3,792.34/5,690.31 = 1,712.98/x
  3. Step 3: Cross multiply
    3,792.34x = 5,690.31 × 1,712.98
  4. Step 4: Simplify right side
    3,792.34x = 9,747,350.21
  5. Step 5: Solve for x
    x = 9,747,350.21/3,792.34
  6. Step 6: Final answer
    x = 2,570.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.