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Finding the Fourth Proportional to 3,420.61, 5,128.02 and 1,446.15

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Solution

The fourth proportional to 3,420.61, 5,128.02 and 1,446.15 is: 2,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.61 : 5,128.02 = 1,446.15 : x
  2. Step 2: Convert to fraction form
    3,420.61/5,128.02 = 1,446.15/x
  3. Step 3: Cross multiply
    3,420.61x = 5,128.02 × 1,446.15
  4. Step 4: Simplify right side
    3,420.61x = 7,415,905.35
  5. Step 5: Solve for x
    x = 7,415,905.35/3,420.61
  6. Step 6: Final answer
    x = 2,168.01

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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.