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Finding the Fourth Proportional to 4,804.53, 7,205.37 and 2,029.68

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Solution

The fourth proportional to 4,804.53, 7,205.37 and 2,029.68 is: 3,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.53 : 7,205.37 = 2,029.68 : x
  2. Step 2: Convert to fraction form
    4,804.53/7,205.37 = 2,029.68/x
  3. Step 3: Cross multiply
    4,804.53x = 7,205.37 × 2,029.68
  4. Step 4: Simplify right side
    4,804.53x = 14,624,595.38
  5. Step 5: Solve for x
    x = 14,624,595.38/4,804.53
  6. Step 6: Final answer
    x = 3,043.92

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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.