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Finding the Fourth Proportional to 6,564.84, 9,059.19 and 3,580.62

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Solution

The fourth proportional to 6,564.84, 9,059.19 and 3,580.62 is: 4,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.84 : 9,059.19 = 3,580.62 : x
  2. Step 2: Convert to fraction form
    6,564.84/9,059.19 = 3,580.62/x
  3. Step 3: Cross multiply
    6,564.84x = 9,059.19 × 3,580.62
  4. Step 4: Simplify right side
    6,564.84x = 32,437,516.90
  5. Step 5: Solve for x
    x = 32,437,516.90/6,564.84
  6. Step 6: Final answer
    x = 4,941.10

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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.