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Finding the Fourth Proportional to 4,446.17, 6,136.56 and 2,559

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Solution

The fourth proportional to 4,446.17, 6,136.56 and 2,559 is: 3,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.17 : 6,136.56 = 2,559 : x
  2. Step 2: Convert to fraction form
    4,446.17/6,136.56 = 2,559/x
  3. Step 3: Cross multiply
    4,446.17x = 6,136.56 × 2,559
  4. Step 4: Simplify right side
    4,446.17x = 15,703,457.04
  5. Step 5: Solve for x
    x = 15,703,457.04/4,446.17
  6. Step 6: Final answer
    x = 3,531.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.