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Finding the Fourth Proportional to 4,556.27, 6,835.05 and 1,435.21

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Solution

The fourth proportional to 4,556.27, 6,835.05 and 1,435.21 is: 2,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.27 : 6,835.05 = 1,435.21 : x
  2. Step 2: Convert to fraction form
    4,556.27/6,835.05 = 1,435.21/x
  3. Step 3: Cross multiply
    4,556.27x = 6,835.05 × 1,435.21
  4. Step 4: Simplify right side
    4,556.27x = 9,809,715.02
  5. Step 5: Solve for x
    x = 9,809,715.02/4,556.27
  6. Step 6: Final answer
    x = 2,153.01

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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.