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Finding the Fourth Proportional to 4,570.34, 6,856.03 and 2,228.67

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Solution

The fourth proportional to 4,570.34, 6,856.03 and 2,228.67 is: 3,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.34 : 6,856.03 = 2,228.67 : x
  2. Step 2: Convert to fraction form
    4,570.34/6,856.03 = 2,228.67/x
  3. Step 3: Cross multiply
    4,570.34x = 6,856.03 × 2,228.67
  4. Step 4: Simplify right side
    4,570.34x = 15,279,828.38
  5. Step 5: Solve for x
    x = 15,279,828.38/4,570.34
  6. Step 6: Final answer
    x = 3,343.26

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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.