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Finding the Fourth Proportional to 4,334.25, 6,502.05 and 1,411.87

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Solution

The fourth proportional to 4,334.25, 6,502.05 and 1,411.87 is: 2,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.25 : 6,502.05 = 1,411.87 : x
  2. Step 2: Convert to fraction form
    4,334.25/6,502.05 = 1,411.87/x
  3. Step 3: Cross multiply
    4,334.25x = 6,502.05 × 1,411.87
  4. Step 4: Simplify right side
    4,334.25x = 9,180,049.33
  5. Step 5: Solve for x
    x = 9,180,049.33/4,334.25
  6. Step 6: Final answer
    x = 2,118.02

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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.