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Finding the Fourth Proportional to 5,638, 8,457.16 and 1,534

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Solution

The fourth proportional to 5,638, 8,457.16 and 1,534 is: 2,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638 : 8,457.16 = 1,534 : x
  2. Step 2: Convert to fraction form
    5,638/8,457.16 = 1,534/x
  3. Step 3: Cross multiply
    5,638x = 8,457.16 × 1,534
  4. Step 4: Simplify right side
    5,638x = 12,973,283.44
  5. Step 5: Solve for x
    x = 12,973,283.44/5,638
  6. Step 6: Final answer
    x = 2,301.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.