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Finding the Fourth Proportional to 5,570.79, 7,688.00 and 3,052.83

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Solution

The fourth proportional to 5,570.79, 7,688.00 and 3,052.83 is: 4,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.79 : 7,688.00 = 3,052.83 : x
  2. Step 2: Convert to fraction form
    5,570.79/7,688.00 = 3,052.83/x
  3. Step 3: Cross multiply
    5,570.79x = 7,688.00 × 3,052.83
  4. Step 4: Simplify right side
    5,570.79x = 23,470,141.78
  5. Step 5: Solve for x
    x = 23,470,141.78/5,570.79
  6. Step 6: Final answer
    x = 4,213.07

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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.