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Finding the Fourth Proportional to 6,564.61, 9,059.16 and 3,580.44

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Solution

The fourth proportional to 6,564.61, 9,059.16 and 3,580.44 is: 4,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.61 : 9,059.16 = 3,580.44 : x
  2. Step 2: Convert to fraction form
    6,564.61/9,059.16 = 3,580.44/x
  3. Step 3: Cross multiply
    6,564.61x = 9,059.16 × 3,580.44
  4. Step 4: Simplify right side
    6,564.61x = 32,435,738.15
  5. Step 5: Solve for x
    x = 32,435,738.15/6,564.61
  6. Step 6: Final answer
    x = 4,941.00

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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.