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Finding the Fourth Proportional to 6,459, 8,914.14 and 3,665.40

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Solution

The fourth proportional to 6,459, 8,914.14 and 3,665.40 is: 5,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459 : 8,914.14 = 3,665.40 : x
  2. Step 2: Convert to fraction form
    6,459/8,914.14 = 3,665.40/x
  3. Step 3: Cross multiply
    6,459x = 8,914.14 × 3,665.40
  4. Step 4: Simplify right side
    6,459x = 32,673,888.76
  5. Step 5: Solve for x
    x = 32,673,888.76/6,459
  6. Step 6: Final answer
    x = 5,058.66

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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.