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Finding the Fourth Proportional to 3,409.37, 4,702.61 and 2,212.21

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Solution

The fourth proportional to 3,409.37, 4,702.61 and 2,212.21 is: 3,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.37 : 4,702.61 = 2,212.21 : x
  2. Step 2: Convert to fraction form
    3,409.37/4,702.61 = 2,212.21/x
  3. Step 3: Cross multiply
    3,409.37x = 4,702.61 × 2,212.21
  4. Step 4: Simplify right side
    3,409.37x = 10,403,166.75
  5. Step 5: Solve for x
    x = 10,403,166.75/3,409.37
  6. Step 6: Final answer
    x = 3,051.35

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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.