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Finding the Fourth Proportional to 4,379.67, 6,569.96 and 1,457.19

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Solution

The fourth proportional to 4,379.67, 6,569.96 and 1,457.19 is: 2,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,379.67 : 6,569.96 = 1,457.19 : x
  2. Step 2: Convert to fraction form
    4,379.67/6,569.96 = 1,457.19/x
  3. Step 3: Cross multiply
    4,379.67x = 6,569.96 × 1,457.19
  4. Step 4: Simplify right side
    4,379.67x = 9,573,672.73
  5. Step 5: Solve for x
    x = 9,573,672.73/4,379.67
  6. Step 6: Final answer
    x = 2,185.93

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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.