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Finding the Fourth Proportional to 4,334.70, 6,500.40 and 3,421.02

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Solution

The fourth proportional to 4,334.70, 6,500.40 and 3,421.02 is: 5,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.70 : 6,500.40 = 3,421.02 : x
  2. Step 2: Convert to fraction form
    4,334.70/6,500.40 = 3,421.02/x
  3. Step 3: Cross multiply
    4,334.70x = 6,500.40 × 3,421.02
  4. Step 4: Simplify right side
    4,334.70x = 22,237,998.41
  5. Step 5: Solve for x
    x = 22,237,998.41/4,334.70
  6. Step 6: Final answer
    x = 5,130.23

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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.