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Finding the Fourth Proportional to 4,823.86, 7,235.79 and 4,577.62

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Solution

The fourth proportional to 4,823.86, 7,235.79 and 4,577.62 is: 6,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.86 : 7,235.79 = 4,577.62 : x
  2. Step 2: Convert to fraction form
    4,823.86/7,235.79 = 4,577.62/x
  3. Step 3: Cross multiply
    4,823.86x = 7,235.79 × 4,577.62
  4. Step 4: Simplify right side
    4,823.86x = 33,122,697.02
  5. Step 5: Solve for x
    x = 33,122,697.02/4,823.86
  6. Step 6: Final answer
    x = 6,866.43

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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.