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Finding the Fourth Proportional to 6,541.84, 9,027.72 and 3,557.68

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Solution

The fourth proportional to 6,541.84, 9,027.72 and 3,557.68 is: 4,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.84 : 9,027.72 = 3,557.68 : x
  2. Step 2: Convert to fraction form
    6,541.84/9,027.72 = 3,557.68/x
  3. Step 3: Cross multiply
    6,541.84x = 9,027.72 × 3,557.68
  4. Step 4: Simplify right side
    6,541.84x = 32,117,738.89
  5. Step 5: Solve for x
    x = 32,117,738.89/6,541.84
  6. Step 6: Final answer
    x = 4,909.59

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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.