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Finding the Fourth Proportional to 6,541.32, 9,026.84 and 3,557.09

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Solution

The fourth proportional to 6,541.32, 9,026.84 and 3,557.09 is: 4,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.32 : 9,026.84 = 3,557.09 : x
  2. Step 2: Convert to fraction form
    6,541.32/9,026.84 = 3,557.09/x
  3. Step 3: Cross multiply
    6,541.32x = 9,026.84 × 3,557.09
  4. Step 4: Simplify right side
    6,541.32x = 32,109,219.38
  5. Step 5: Solve for x
    x = 32,109,219.38/6,541.32
  6. Step 6: Final answer
    x = 4,908.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.