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Finding the Fourth Proportional to 5,886.80, 8,830.20 and 4,137.20

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Solution

The fourth proportional to 5,886.80, 8,830.20 and 4,137.20 is: 6,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.80 : 8,830.20 = 4,137.20 : x
  2. Step 2: Convert to fraction form
    5,886.80/8,830.20 = 4,137.20/x
  3. Step 3: Cross multiply
    5,886.80x = 8,830.20 × 4,137.20
  4. Step 4: Simplify right side
    5,886.80x = 36,532,303.44
  5. Step 5: Solve for x
    x = 36,532,303.44/5,886.80
  6. Step 6: Final answer
    x = 6,205.80

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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.