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Finding the Fourth Proportional to 5,848.80, 8,205.60 and 5,848.80

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Solution

The fourth proportional to 5,848.80, 8,205.60 and 5,848.80 is: 8,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.80 : 8,205.60 = 5,848.80 : x
  2. Step 2: Convert to fraction form
    5,848.80/8,205.60 = 5,848.80/x
  3. Step 3: Cross multiply
    5,848.80x = 8,205.60 × 5,848.80
  4. Step 4: Simplify right side
    5,848.80x = 47,992,913.28
  5. Step 5: Solve for x
    x = 47,992,913.28/5,848.80
  6. Step 6: Final answer
    x = 8,205.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.