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Finding the Fourth Proportional to 6,564.19, 9,058.74 and 3,580.30

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Solution

The fourth proportional to 6,564.19, 9,058.74 and 3,580.30 is: 4,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.19 : 9,058.74 = 3,580.30 : x
  2. Step 2: Convert to fraction form
    6,564.19/9,058.74 = 3,580.30/x
  3. Step 3: Cross multiply
    6,564.19x = 9,058.74 × 3,580.30
  4. Step 4: Simplify right side
    6,564.19x = 32,433,004.72
  5. Step 5: Solve for x
    x = 32,433,004.72/6,564.19
  6. Step 6: Final answer
    x = 4,940.90

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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.