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Finding the Fourth Proportional to 4,712.90, 7,046.87 and 4,299.80

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Solution

The fourth proportional to 4,712.90, 7,046.87 and 4,299.80 is: 6,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.90 : 7,046.87 = 4,299.80 : x
  2. Step 2: Convert to fraction form
    4,712.90/7,046.87 = 4,299.80/x
  3. Step 3: Cross multiply
    4,712.90x = 7,046.87 × 4,299.80
  4. Step 4: Simplify right side
    4,712.90x = 30,300,074.89
  5. Step 5: Solve for x
    x = 30,300,074.89/4,712.90
  6. Step 6: Final answer
    x = 6,429.19

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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.