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Finding the Fourth Proportional to 5,657.24, 7,812.06 and 3,671

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Solution

The fourth proportional to 5,657.24, 7,812.06 and 3,671 is: 5,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.24 : 7,812.06 = 3,671 : x
  2. Step 2: Convert to fraction form
    5,657.24/7,812.06 = 3,671/x
  3. Step 3: Cross multiply
    5,657.24x = 7,812.06 × 3,671
  4. Step 4: Simplify right side
    5,657.24x = 28,678,072.26
  5. Step 5: Solve for x
    x = 28,678,072.26/5,657.24
  6. Step 6: Final answer
    x = 5,069.27

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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.