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Finding the Fourth Proportional to 4,457.34, 6,699.46 and 3,682.32

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Solution

The fourth proportional to 4,457.34, 6,699.46 and 3,682.32 is: 5,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.34 : 6,699.46 = 3,682.32 : x
  2. Step 2: Convert to fraction form
    4,457.34/6,699.46 = 3,682.32/x
  3. Step 3: Cross multiply
    4,457.34x = 6,699.46 × 3,682.32
  4. Step 4: Simplify right side
    4,457.34x = 24,669,555.55
  5. Step 5: Solve for x
    x = 24,669,555.55/4,457.34
  6. Step 6: Final answer
    x = 5,534.59

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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.