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Finding the Fourth Proportional to 4,334.31, 6,502.14 and 1,411.94

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Solution

The fourth proportional to 4,334.31, 6,502.14 and 1,411.94 is: 2,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.31 : 6,502.14 = 1,411.94 : x
  2. Step 2: Convert to fraction form
    4,334.31/6,502.14 = 1,411.94/x
  3. Step 3: Cross multiply
    4,334.31x = 6,502.14 × 1,411.94
  4. Step 4: Simplify right side
    4,334.31x = 9,180,599.04
  5. Step 5: Solve for x
    x = 9,180,599.04/4,334.31
  6. Step 6: Final answer
    x = 2,118.12

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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.