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Finding the Fourth Proportional to 3,496.34, 5,246.14 and 1,762.94

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Solution

The fourth proportional to 3,496.34, 5,246.14 and 1,762.94 is: 2,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.34 : 5,246.14 = 1,762.94 : x
  2. Step 2: Convert to fraction form
    3,496.34/5,246.14 = 1,762.94/x
  3. Step 3: Cross multiply
    3,496.34x = 5,246.14 × 1,762.94
  4. Step 4: Simplify right side
    3,496.34x = 9,248,630.05
  5. Step 5: Solve for x
    x = 9,248,630.05/3,496.34
  6. Step 6: Final answer
    x = 2,645.23

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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.