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Finding the Fourth Proportional to 3,840.51, 5,299.95 and 2,161.91

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Solution

The fourth proportional to 3,840.51, 5,299.95 and 2,161.91 is: 2,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.51 : 5,299.95 = 2,161.91 : x
  2. Step 2: Convert to fraction form
    3,840.51/5,299.95 = 2,161.91/x
  3. Step 3: Cross multiply
    3,840.51x = 5,299.95 × 2,161.91
  4. Step 4: Simplify right side
    3,840.51x = 11,457,988.40
  5. Step 5: Solve for x
    x = 11,457,988.40/3,840.51
  6. Step 6: Final answer
    x = 2,983.45

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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.