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Finding the Fourth Proportional to 4,457.32, 6,683.49 and 1,824.11

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Solution

The fourth proportional to 4,457.32, 6,683.49 and 1,824.11 is: 2,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.32 : 6,683.49 = 1,824.11 : x
  2. Step 2: Convert to fraction form
    4,457.32/6,683.49 = 1,824.11/x
  3. Step 3: Cross multiply
    4,457.32x = 6,683.49 × 1,824.11
  4. Step 4: Simplify right side
    4,457.32x = 12,191,420.94
  5. Step 5: Solve for x
    x = 12,191,420.94/4,457.32
  6. Step 6: Final answer
    x = 2,735.15

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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.