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Finding the Fourth Proportional to 6,459.46, 8,914.33 and 3,665.22

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Solution

The fourth proportional to 6,459.46, 8,914.33 and 3,665.22 is: 5,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.46 : 8,914.33 = 3,665.22 : x
  2. Step 2: Convert to fraction form
    6,459.46/8,914.33 = 3,665.22/x
  3. Step 3: Cross multiply
    6,459.46x = 8,914.33 × 3,665.22
  4. Step 4: Simplify right side
    6,459.46x = 32,672,980.60
  5. Step 5: Solve for x
    x = 32,672,980.60/6,459.46
  6. Step 6: Final answer
    x = 5,058.16

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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.