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Finding the Fourth Proportional to 3,021.75, 4,532.42 and 1,047.32

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Solution

The fourth proportional to 3,021.75, 4,532.42 and 1,047.32 is: 1,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.75 : 4,532.42 = 1,047.32 : x
  2. Step 2: Convert to fraction form
    3,021.75/4,532.42 = 1,047.32/x
  3. Step 3: Cross multiply
    3,021.75x = 4,532.42 × 1,047.32
  4. Step 4: Simplify right side
    3,021.75x = 4,746,900.21
  5. Step 5: Solve for x
    x = 4,746,900.21/3,021.75
  6. Step 6: Final answer
    x = 1,570.91

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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.