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Finding the Fourth Proportional to 5,235.39, 7,848.23 and 4,146.75

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Solution

The fourth proportional to 5,235.39, 7,848.23 and 4,146.75 is: 6,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.39 : 7,848.23 = 4,146.75 : x
  2. Step 2: Convert to fraction form
    5,235.39/7,848.23 = 4,146.75/x
  3. Step 3: Cross multiply
    5,235.39x = 7,848.23 × 4,146.75
  4. Step 4: Simplify right side
    5,235.39x = 32,544,627.02
  5. Step 5: Solve for x
    x = 32,544,627.02/5,235.39
  6. Step 6: Final answer
    x = 6,216.28

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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.