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Finding the Fourth Proportional to 3,743.40, 5,612.40 and 2,100.45

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Solution

The fourth proportional to 3,743.40, 5,612.40 and 2,100.45 is: 3,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.40 : 5,612.40 = 2,100.45 : x
  2. Step 2: Convert to fraction form
    3,743.40/5,612.40 = 2,100.45/x
  3. Step 3: Cross multiply
    3,743.40x = 5,612.40 × 2,100.45
  4. Step 4: Simplify right side
    3,743.40x = 11,788,565.58
  5. Step 5: Solve for x
    x = 11,788,565.58/3,743.40
  6. Step 6: Final answer
    x = 3,149.16

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