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Finding the Fourth Proportional to 6,584.01, 9,085.48 and 3,599.77

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Solution

The fourth proportional to 6,584.01, 9,085.48 and 3,599.77 is: 4,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.01 : 9,085.48 = 3,599.77 : x
  2. Step 2: Convert to fraction form
    6,584.01/9,085.48 = 3,599.77/x
  3. Step 3: Cross multiply
    6,584.01x = 9,085.48 × 3,599.77
  4. Step 4: Simplify right side
    6,584.01x = 32,705,638.34
  5. Step 5: Solve for x
    x = 32,705,638.34/6,584.01
  6. Step 6: Final answer
    x = 4,967.43

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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.