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Finding the Fourth Proportional to 3,487.43, 5,231.08 and 1,407.38

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Solution

The fourth proportional to 3,487.43, 5,231.08 and 1,407.38 is: 2,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.43 : 5,231.08 = 1,407.38 : x
  2. Step 2: Convert to fraction form
    3,487.43/5,231.08 = 1,407.38/x
  3. Step 3: Cross multiply
    3,487.43x = 5,231.08 × 1,407.38
  4. Step 4: Simplify right side
    3,487.43x = 7,362,117.37
  5. Step 5: Solve for x
    x = 7,362,117.37/3,487.43
  6. Step 6: Final answer
    x = 2,111.04

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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.