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Finding the Fourth Proportional to 6,541.57, 9,027.06 and 3,708.76

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Solution

The fourth proportional to 6,541.57, 9,027.06 and 3,708.76 is: 5,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.57 : 9,027.06 = 3,708.76 : x
  2. Step 2: Convert to fraction form
    6,541.57/9,027.06 = 3,708.76/x
  3. Step 3: Cross multiply
    6,541.57x = 9,027.06 × 3,708.76
  4. Step 4: Simplify right side
    6,541.57x = 33,479,199.05
  5. Step 5: Solve for x
    x = 33,479,199.05/6,541.57
  6. Step 6: Final answer
    x = 5,117.91

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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.