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Finding the Fourth Proportional to 5,480.40, 8,221.20 and 5,307.60

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Solution

The fourth proportional to 5,480.40, 8,221.20 and 5,307.60 is: 7,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.40 : 8,221.20 = 5,307.60 : x
  2. Step 2: Convert to fraction form
    5,480.40/8,221.20 = 5,307.60/x
  3. Step 3: Cross multiply
    5,480.40x = 8,221.20 × 5,307.60
  4. Step 4: Simplify right side
    5,480.40x = 43,634,841.12
  5. Step 5: Solve for x
    x = 43,634,841.12/5,480.40
  6. Step 6: Final answer
    x = 7,961.98

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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.