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Finding the Fourth Proportional to 4,446.32, 6,136.04 and 2,457

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Solution

The fourth proportional to 4,446.32, 6,136.04 and 2,457 is: 3,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.32 : 6,136.04 = 2,457 : x
  2. Step 2: Convert to fraction form
    4,446.32/6,136.04 = 2,457/x
  3. Step 3: Cross multiply
    4,446.32x = 6,136.04 × 2,457
  4. Step 4: Simplify right side
    4,446.32x = 15,076,244.14
  5. Step 5: Solve for x
    x = 15,076,244.14/4,446.32
  6. Step 6: Final answer
    x = 3,390.73

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Why These Related Problems?

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