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Finding the Fourth Proportional to 5,574, 8,355.48 and 2,647.14

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Solution

The fourth proportional to 5,574, 8,355.48 and 2,647.14 is: 3,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574 : 8,355.48 = 2,647.14 : x
  2. Step 2: Convert to fraction form
    5,574/8,355.48 = 2,647.14/x
  3. Step 3: Cross multiply
    5,574x = 8,355.48 × 2,647.14
  4. Step 4: Simplify right side
    5,574x = 22,118,125.33
  5. Step 5: Solve for x
    x = 22,118,125.33/5,574
  6. Step 6: Final answer
    x = 3,968.09

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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.