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Finding the Fourth Proportional to 3,763.96, 5,647.02 and 1,457.08

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Solution

The fourth proportional to 3,763.96, 5,647.02 and 1,457.08 is: 2,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.96 : 5,647.02 = 1,457.08 : x
  2. Step 2: Convert to fraction form
    3,763.96/5,647.02 = 1,457.08/x
  3. Step 3: Cross multiply
    3,763.96x = 5,647.02 × 1,457.08
  4. Step 4: Simplify right side
    3,763.96x = 8,228,159.90
  5. Step 5: Solve for x
    x = 8,228,159.90/3,763.96
  6. Step 6: Final answer
    x = 2,186.04

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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.