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Finding the Fourth Proportional to 4,866.40, 7,299.60 and 1,403.65

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Solution

The fourth proportional to 4,866.40, 7,299.60 and 1,403.65 is: 2,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.40 : 7,299.60 = 1,403.65 : x
  2. Step 2: Convert to fraction form
    4,866.40/7,299.60 = 1,403.65/x
  3. Step 3: Cross multiply
    4,866.40x = 7,299.60 × 1,403.65
  4. Step 4: Simplify right side
    4,866.40x = 10,246,083.54
  5. Step 5: Solve for x
    x = 10,246,083.54/4,866.40
  6. Step 6: Final answer
    x = 2,105.48

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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.