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Finding the Fourth Proportional to 4,743.36, 7,114.84 and 2,807.87

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Solution

The fourth proportional to 4,743.36, 7,114.84 and 2,807.87 is: 4,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.36 : 7,114.84 = 2,807.87 : x
  2. Step 2: Convert to fraction form
    4,743.36/7,114.84 = 2,807.87/x
  3. Step 3: Cross multiply
    4,743.36x = 7,114.84 × 2,807.87
  4. Step 4: Simplify right side
    4,743.36x = 19,977,503.20
  5. Step 5: Solve for x
    x = 19,977,503.20/4,743.36
  6. Step 6: Final answer
    x = 4,211.68

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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.