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Finding the Fourth Proportional to 5,768.04, 8,652.78 and 2,257.59

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Solution

The fourth proportional to 5,768.04, 8,652.78 and 2,257.59 is: 3,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.04 : 8,652.78 = 2,257.59 : x
  2. Step 2: Convert to fraction form
    5,768.04/8,652.78 = 2,257.59/x
  3. Step 3: Cross multiply
    5,768.04x = 8,652.78 × 2,257.59
  4. Step 4: Simplify right side
    5,768.04x = 19,534,470.51
  5. Step 5: Solve for x
    x = 19,534,470.51/5,768.04
  6. Step 6: Final answer
    x = 3,386.67

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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.