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Finding the Fourth Proportional to 4,457.66, 6,681.99 and 3,222.05

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Solution

The fourth proportional to 4,457.66, 6,681.99 and 3,222.05 is: 4,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.66 : 6,681.99 = 3,222.05 : x
  2. Step 2: Convert to fraction form
    4,457.66/6,681.99 = 3,222.05/x
  3. Step 3: Cross multiply
    4,457.66x = 6,681.99 × 3,222.05
  4. Step 4: Simplify right side
    4,457.66x = 21,529,705.88
  5. Step 5: Solve for x
    x = 21,529,705.88/4,457.66
  6. Step 6: Final answer
    x = 4,829.82

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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.