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Finding the Fourth Proportional to 3,352.34, 5,027.70 and 1,406

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Solution

The fourth proportional to 3,352.34, 5,027.70 and 1,406 is: 2,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.34 : 5,027.70 = 1,406 : x
  2. Step 2: Convert to fraction form
    3,352.34/5,027.70 = 1,406/x
  3. Step 3: Cross multiply
    3,352.34x = 5,027.70 × 1,406
  4. Step 4: Simplify right side
    3,352.34x = 7,068,946.20
  5. Step 5: Solve for x
    x = 7,068,946.20/3,352.34
  6. Step 6: Final answer
    x = 2,108.66

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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.