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Finding the Fourth Proportional to 5,741.22, 7,927.55 and 4,679.14

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Solution

The fourth proportional to 5,741.22, 7,927.55 and 4,679.14 is: 6,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.22 : 7,927.55 = 4,679.14 : x
  2. Step 2: Convert to fraction form
    5,741.22/7,927.55 = 4,679.14/x
  3. Step 3: Cross multiply
    5,741.22x = 7,927.55 × 4,679.14
  4. Step 4: Simplify right side
    5,741.22x = 37,094,116.31
  5. Step 5: Solve for x
    x = 37,094,116.31/5,741.22
  6. Step 6: Final answer
    x = 6,461.02

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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.