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Finding the Fourth Proportional to 3,437.58, 4,743.50 and 2,111.34

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Solution

The fourth proportional to 3,437.58, 4,743.50 and 2,111.34 is: 2,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.58 : 4,743.50 = 2,111.34 : x
  2. Step 2: Convert to fraction form
    3,437.58/4,743.50 = 2,111.34/x
  3. Step 3: Cross multiply
    3,437.58x = 4,743.50 × 2,111.34
  4. Step 4: Simplify right side
    3,437.58x = 10,015,141.29
  5. Step 5: Solve for x
    x = 10,015,141.29/3,437.58
  6. Step 6: Final answer
    x = 2,913.43

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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.