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Finding the Fourth Proportional to 3,703.61, 5,111.25 and 2,211.59

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Solution

The fourth proportional to 3,703.61, 5,111.25 and 2,211.59 is: 3,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.61 : 5,111.25 = 2,211.59 : x
  2. Step 2: Convert to fraction form
    3,703.61/5,111.25 = 2,211.59/x
  3. Step 3: Cross multiply
    3,703.61x = 5,111.25 × 2,211.59
  4. Step 4: Simplify right side
    3,703.61x = 11,303,989.39
  5. Step 5: Solve for x
    x = 11,303,989.39/3,703.61
  6. Step 6: Final answer
    x = 3,052.15

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