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Finding the Fourth Proportional to 5,133.94, 7,701.42 and 1,848.31

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Solution

The fourth proportional to 5,133.94, 7,701.42 and 1,848.31 is: 2,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.94 : 7,701.42 = 1,848.31 : x
  2. Step 2: Convert to fraction form
    5,133.94/7,701.42 = 1,848.31/x
  3. Step 3: Cross multiply
    5,133.94x = 7,701.42 × 1,848.31
  4. Step 4: Simplify right side
    5,133.94x = 14,234,611.60
  5. Step 5: Solve for x
    x = 14,234,611.60/5,133.94
  6. Step 6: Final answer
    x = 2,772.65

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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.