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Finding the Fourth Proportional to 3,508.46, 5,262.91 and 1,043.07

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Solution

The fourth proportional to 3,508.46, 5,262.91 and 1,043.07 is: 1,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.46 : 5,262.91 = 1,043.07 : x
  2. Step 2: Convert to fraction form
    3,508.46/5,262.91 = 1,043.07/x
  3. Step 3: Cross multiply
    3,508.46x = 5,262.91 × 1,043.07
  4. Step 4: Simplify right side
    3,508.46x = 5,489,583.53
  5. Step 5: Solve for x
    x = 5,489,583.53/3,508.46
  6. Step 6: Final answer
    x = 1,564.67

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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.