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Finding the Fourth Proportional to 5,133.42, 7,702.22 and 1,846.77

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Solution

The fourth proportional to 5,133.42, 7,702.22 and 1,846.77 is: 2,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.42 : 7,702.22 = 1,846.77 : x
  2. Step 2: Convert to fraction form
    5,133.42/7,702.22 = 1,846.77/x
  3. Step 3: Cross multiply
    5,133.42x = 7,702.22 × 1,846.77
  4. Step 4: Simplify right side
    5,133.42x = 14,224,219.60
  5. Step 5: Solve for x
    x = 14,224,219.60/5,133.42
  6. Step 6: Final answer
    x = 2,770.91

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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.