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Finding the Fourth Proportional to 3,400.98, 5,102.73 and 1,756.47

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Solution

The fourth proportional to 3,400.98, 5,102.73 and 1,756.47 is: 2,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.98 : 5,102.73 = 1,756.47 : x
  2. Step 2: Convert to fraction form
    3,400.98/5,102.73 = 1,756.47/x
  3. Step 3: Cross multiply
    3,400.98x = 5,102.73 × 1,756.47
  4. Step 4: Simplify right side
    3,400.98x = 8,962,792.16
  5. Step 5: Solve for x
    x = 8,962,792.16/3,400.98
  6. Step 6: Final answer
    x = 2,635.36

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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.