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Finding the Fourth Proportional to 3,705.31, 5,106.25 and 2,655.55

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Solution

The fourth proportional to 3,705.31, 5,106.25 and 2,655.55 is: 3,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.31 : 5,106.25 = 2,655.55 : x
  2. Step 2: Convert to fraction form
    3,705.31/5,106.25 = 2,655.55/x
  3. Step 3: Cross multiply
    3,705.31x = 5,106.25 × 2,655.55
  4. Step 4: Simplify right side
    3,705.31x = 13,559,902.19
  5. Step 5: Solve for x
    x = 13,559,902.19/3,705.31
  6. Step 6: Final answer
    x = 3,659.59

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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.