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Finding the Fourth Proportional to 3,655.82, 5,051.71 and 2,606.06

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Solution

The fourth proportional to 3,655.82, 5,051.71 and 2,606.06 is: 3,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.82 : 5,051.71 = 2,606.06 : x
  2. Step 2: Convert to fraction form
    3,655.82/5,051.71 = 2,606.06/x
  3. Step 3: Cross multiply
    3,655.82x = 5,051.71 × 2,606.06
  4. Step 4: Simplify right side
    3,655.82x = 13,165,059.36
  5. Step 5: Solve for x
    x = 13,165,059.36/3,655.82
  6. Step 6: Final answer
    x = 3,601.12

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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.