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Finding the Fourth Proportional to 3,419.70, 5,140.35 and 3,225.30

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Solution

The fourth proportional to 3,419.70, 5,140.35 and 3,225.30 is: 4,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.70 : 5,140.35 = 3,225.30 : x
  2. Step 2: Convert to fraction form
    3,419.70/5,140.35 = 3,225.30/x
  3. Step 3: Cross multiply
    3,419.70x = 5,140.35 × 3,225.30
  4. Step 4: Simplify right side
    3,419.70x = 16,579,170.86
  5. Step 5: Solve for x
    x = 16,579,170.86/3,419.70
  6. Step 6: Final answer
    x = 4,848.14

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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.