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Finding the Fourth Proportional to 4,302.36, 6,459 and 3,657.21

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Solution

The fourth proportional to 4,302.36, 6,459 and 3,657.21 is: 5,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.36 : 6,459 = 3,657.21 : x
  2. Step 2: Convert to fraction form
    4,302.36/6,459 = 3,657.21/x
  3. Step 3: Cross multiply
    4,302.36x = 6,459 × 3,657.21
  4. Step 4: Simplify right side
    4,302.36x = 23,621,919.39
  5. Step 5: Solve for x
    x = 23,621,919.39/4,302.36
  6. Step 6: Final answer
    x = 5,490.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.