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Finding the Fourth Proportional to 4,807.42, 7,211.43 and 2,033.58

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Solution

The fourth proportional to 4,807.42, 7,211.43 and 2,033.58 is: 3,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.42 : 7,211.43 = 2,033.58 : x
  2. Step 2: Convert to fraction form
    4,807.42/7,211.43 = 2,033.58/x
  3. Step 3: Cross multiply
    4,807.42x = 7,211.43 × 2,033.58
  4. Step 4: Simplify right side
    4,807.42x = 14,665,019.82
  5. Step 5: Solve for x
    x = 14,665,019.82/4,807.42
  6. Step 6: Final answer
    x = 3,050.50

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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.