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Finding the Fourth Proportional to 3,742.71, 5,590.37 and 2,912.34

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Solution

The fourth proportional to 3,742.71, 5,590.37 and 2,912.34 is: 4,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.71 : 5,590.37 = 2,912.34 : x
  2. Step 2: Convert to fraction form
    3,742.71/5,590.37 = 2,912.34/x
  3. Step 3: Cross multiply
    3,742.71x = 5,590.37 × 2,912.34
  4. Step 4: Simplify right side
    3,742.71x = 16,281,043.60
  5. Step 5: Solve for x
    x = 16,281,043.60/3,742.71
  6. Step 6: Final answer
    x = 4,350.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.