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Finding the Fourth Proportional to 4,920.56, 7,379.76 and 1,457

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Solution

The fourth proportional to 4,920.56, 7,379.76 and 1,457 is: 2,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.56 : 7,379.76 = 1,457 : x
  2. Step 2: Convert to fraction form
    4,920.56/7,379.76 = 1,457/x
  3. Step 3: Cross multiply
    4,920.56x = 7,379.76 × 1,457
  4. Step 4: Simplify right side
    4,920.56x = 10,752,310.32
  5. Step 5: Solve for x
    x = 10,752,310.32/4,920.56
  6. Step 6: Final answer
    x = 2,185.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.