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Finding the Fourth Proportional to 5,570.54, 7,688.00 and 3,212.63

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Solution

The fourth proportional to 5,570.54, 7,688.00 and 3,212.63 is: 4,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.54 : 7,688.00 = 3,212.63 : x
  2. Step 2: Convert to fraction form
    5,570.54/7,688.00 = 3,212.63/x
  3. Step 3: Cross multiply
    5,570.54x = 7,688.00 × 3,212.63
  4. Step 4: Simplify right side
    5,570.54x = 24,698,669.03
  5. Step 5: Solve for x
    x = 24,698,669.03/5,570.54
  6. Step 6: Final answer
    x = 4,433.81

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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.