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Finding the Fourth Proportional to 4,300.40, 5,930.64 and 2,807.84

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Solution

The fourth proportional to 4,300.40, 5,930.64 and 2,807.84 is: 3,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.40 : 5,930.64 = 2,807.84 : x
  2. Step 2: Convert to fraction form
    4,300.40/5,930.64 = 2,807.84/x
  3. Step 3: Cross multiply
    4,300.40x = 5,930.64 × 2,807.84
  4. Step 4: Simplify right side
    4,300.40x = 16,652,288.22
  5. Step 5: Solve for x
    x = 16,652,288.22/4,300.40
  6. Step 6: Final answer
    x = 3,872.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.