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Finding the Fourth Proportional to 4,457.66, 6,684.32 and 2,235.53

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Solution

The fourth proportional to 4,457.66, 6,684.32 and 2,235.53 is: 3,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.66 : 6,684.32 = 2,235.53 : x
  2. Step 2: Convert to fraction form
    4,457.66/6,684.32 = 2,235.53/x
  3. Step 3: Cross multiply
    4,457.66x = 6,684.32 × 2,235.53
  4. Step 4: Simplify right side
    4,457.66x = 14,943,020.19
  5. Step 5: Solve for x
    x = 14,943,020.19/4,457.66
  6. Step 6: Final answer
    x = 3,352.22

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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.