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Finding the Fourth Proportional to 3,355.02, 5,033.16 and 1,407.42

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Solution

The fourth proportional to 3,355.02, 5,033.16 and 1,407.42 is: 2,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.02 : 5,033.16 = 1,407.42 : x
  2. Step 2: Convert to fraction form
    3,355.02/5,033.16 = 1,407.42/x
  3. Step 3: Cross multiply
    3,355.02x = 5,033.16 × 1,407.42
  4. Step 4: Simplify right side
    3,355.02x = 7,083,770.05
  5. Step 5: Solve for x
    x = 7,083,770.05/3,355.02
  6. Step 6: Final answer
    x = 2,111.39

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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.