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Finding the Fourth Proportional to 3,381.41, 5,072.12 and 1,407.00

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Solution

The fourth proportional to 3,381.41, 5,072.12 and 1,407.00 is: 2,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.41 : 5,072.12 = 1,407.00 : x
  2. Step 2: Convert to fraction form
    3,381.41/5,072.12 = 1,407.00/x
  3. Step 3: Cross multiply
    3,381.41x = 5,072.12 × 1,407.00
  4. Step 4: Simplify right side
    3,381.41x = 7,136,490.10
  5. Step 5: Solve for x
    x = 7,136,490.10/3,381.41
  6. Step 6: Final answer
    x = 2,110.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.