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Finding the Fourth Proportional to 3,852.68, 5,312.22 and 2,699.96

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Solution

The fourth proportional to 3,852.68, 5,312.22 and 2,699.96 is: 3,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.68 : 5,312.22 = 2,699.96 : x
  2. Step 2: Convert to fraction form
    3,852.68/5,312.22 = 2,699.96/x
  3. Step 3: Cross multiply
    3,852.68x = 5,312.22 × 2,699.96
  4. Step 4: Simplify right side
    3,852.68x = 14,342,781.51
  5. Step 5: Solve for x
    x = 14,342,781.51/3,852.68
  6. Step 6: Final answer
    x = 3,722.81

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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.