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Finding the Fourth Proportional to 5,735.24, 7,913.40 and 3,376.76

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Solution

The fourth proportional to 5,735.24, 7,913.40 and 3,376.76 is: 4,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.24 : 7,913.40 = 3,376.76 : x
  2. Step 2: Convert to fraction form
    5,735.24/7,913.40 = 3,376.76/x
  3. Step 3: Cross multiply
    5,735.24x = 7,913.40 × 3,376.76
  4. Step 4: Simplify right side
    5,735.24x = 26,721,652.58
  5. Step 5: Solve for x
    x = 26,721,652.58/5,735.24
  6. Step 6: Final answer
    x = 4,659.20

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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.