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Finding the Fourth Proportional to 3,440.66, 5,153.42 and 2,572.34

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Solution

The fourth proportional to 3,440.66, 5,153.42 and 2,572.34 is: 3,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.66 : 5,153.42 = 2,572.34 : x
  2. Step 2: Convert to fraction form
    3,440.66/5,153.42 = 2,572.34/x
  3. Step 3: Cross multiply
    3,440.66x = 5,153.42 × 2,572.34
  4. Step 4: Simplify right side
    3,440.66x = 13,256,329.07
  5. Step 5: Solve for x
    x = 13,256,329.07/3,440.66
  6. Step 6: Final answer
    x = 3,852.85

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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.