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Finding the Fourth Proportional to 4,920.62, 7,379.66 and 1,457.06

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Solution

The fourth proportional to 4,920.62, 7,379.66 and 1,457.06 is: 2,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.62 : 7,379.66 = 1,457.06 : x
  2. Step 2: Convert to fraction form
    4,920.62/7,379.66 = 1,457.06/x
  3. Step 3: Cross multiply
    4,920.62x = 7,379.66 × 1,457.06
  4. Step 4: Simplify right side
    4,920.62x = 10,752,574.14
  5. Step 5: Solve for x
    x = 10,752,574.14/4,920.62
  6. Step 6: Final answer
    x = 2,185.21

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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.