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Finding the Fourth Proportional to 5,670.58, 7,826.94 and 3,681.02

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Solution

The fourth proportional to 5,670.58, 7,826.94 and 3,681.02 is: 5,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.58 : 7,826.94 = 3,681.02 : x
  2. Step 2: Convert to fraction form
    5,670.58/7,826.94 = 3,681.02/x
  3. Step 3: Cross multiply
    5,670.58x = 7,826.94 × 3,681.02
  4. Step 4: Simplify right side
    5,670.58x = 28,811,122.68
  5. Step 5: Solve for x
    x = 28,811,122.68/5,670.58
  6. Step 6: Final answer
    x = 5,080.81

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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.