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Finding the Fourth Proportional to 4,825.40, 7,235.40 and 2,051.60

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Solution

The fourth proportional to 4,825.40, 7,235.40 and 2,051.60 is: 3,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.40 : 7,235.40 = 2,051.60 : x
  2. Step 2: Convert to fraction form
    4,825.40/7,235.40 = 2,051.60/x
  3. Step 3: Cross multiply
    4,825.40x = 7,235.40 × 2,051.60
  4. Step 4: Simplify right side
    4,825.40x = 14,844,146.64
  5. Step 5: Solve for x
    x = 14,844,146.64/4,825.40
  6. Step 6: Final answer
    x = 3,076.25

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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.