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Finding the Fourth Proportional to 5,477.70, 8,202.24 and 4,702.80

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Solution

The fourth proportional to 5,477.70, 8,202.24 and 4,702.80 is: 7,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.70 : 8,202.24 = 4,702.80 : x
  2. Step 2: Convert to fraction form
    5,477.70/8,202.24 = 4,702.80/x
  3. Step 3: Cross multiply
    5,477.70x = 8,202.24 × 4,702.80
  4. Step 4: Simplify right side
    5,477.70x = 38,573,494.27
  5. Step 5: Solve for x
    x = 38,573,494.27/5,477.70
  6. Step 6: Final answer
    x = 7,041.91

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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.