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Finding the Fourth Proportional to 4,723.86, 7,085.79 and 1,436.88

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Solution

The fourth proportional to 4,723.86, 7,085.79 and 1,436.88 is: 2,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.86 : 7,085.79 = 1,436.88 : x
  2. Step 2: Convert to fraction form
    4,723.86/7,085.79 = 1,436.88/x
  3. Step 3: Cross multiply
    4,723.86x = 7,085.79 × 1,436.88
  4. Step 4: Simplify right side
    4,723.86x = 10,181,429.94
  5. Step 5: Solve for x
    x = 10,181,429.94/4,723.86
  6. Step 6: Final answer
    x = 2,155.32

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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.