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Finding the Fourth Proportional to 3,571.30, 5,356.88 and 974.22

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Solution

The fourth proportional to 3,571.30, 5,356.88 and 974.22 is: 1,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.30 : 5,356.88 = 974.22 : x
  2. Step 2: Convert to fraction form
    3,571.30/5,356.88 = 974.22/x
  3. Step 3: Cross multiply
    3,571.30x = 5,356.88 × 974.22
  4. Step 4: Simplify right side
    3,571.30x = 5,218,779.63
  5. Step 5: Solve for x
    x = 5,218,779.63/3,571.30
  6. Step 6: Final answer
    x = 1,461.31

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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.