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Finding the Fourth Proportional to 3,285.60, 4,927.23 and 1,436.19

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Solution

The fourth proportional to 3,285.60, 4,927.23 and 1,436.19 is: 2,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.60 : 4,927.23 = 1,436.19 : x
  2. Step 2: Convert to fraction form
    3,285.60/4,927.23 = 1,436.19/x
  3. Step 3: Cross multiply
    3,285.60x = 4,927.23 × 1,436.19
  4. Step 4: Simplify right side
    3,285.60x = 7,076,438.45
  5. Step 5: Solve for x
    x = 7,076,438.45/3,285.60
  6. Step 6: Final answer
    x = 2,153.77

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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.