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Finding the Fourth Proportional to 6,670.81, 9,205.58 and 3,686.58

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Solution

The fourth proportional to 6,670.81, 9,205.58 and 3,686.58 is: 5,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.81 : 9,205.58 = 3,686.58 : x
  2. Step 2: Convert to fraction form
    6,670.81/9,205.58 = 3,686.58/x
  3. Step 3: Cross multiply
    6,670.81x = 9,205.58 × 3,686.58
  4. Step 4: Simplify right side
    6,670.81x = 33,937,093.32
  5. Step 5: Solve for x
    x = 33,937,093.32/6,670.81
  6. Step 6: Final answer
    x = 5,087.41

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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.