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Finding the Fourth Proportional to 3,741.35, 5,612.63 and 1,402.18

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Solution

The fourth proportional to 3,741.35, 5,612.63 and 1,402.18 is: 2,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.35 : 5,612.63 = 1,402.18 : x
  2. Step 2: Convert to fraction form
    3,741.35/5,612.63 = 1,402.18/x
  3. Step 3: Cross multiply
    3,741.35x = 5,612.63 × 1,402.18
  4. Step 4: Simplify right side
    3,741.35x = 7,869,896.49
  5. Step 5: Solve for x
    x = 7,869,896.49/3,741.35
  6. Step 6: Final answer
    x = 2,103.49

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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.