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Finding the Fourth Proportional to 6,523.41, 8,998.98 and 4,129.35

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Solution

The fourth proportional to 6,523.41, 8,998.98 and 4,129.35 is: 5,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.41 : 8,998.98 = 4,129.35 : x
  2. Step 2: Convert to fraction form
    6,523.41/8,998.98 = 4,129.35/x
  3. Step 3: Cross multiply
    6,523.41x = 8,998.98 × 4,129.35
  4. Step 4: Simplify right side
    6,523.41x = 37,159,938.06
  5. Step 5: Solve for x
    x = 37,159,938.06/6,523.41
  6. Step 6: Final answer
    x = 5,696.40

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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.