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Finding the Fourth Proportional to 3,570.98, 5,355.92 and 974.12

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Solution

The fourth proportional to 3,570.98, 5,355.92 and 974.12 is: 1,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.98 : 5,355.92 = 974.12 : x
  2. Step 2: Convert to fraction form
    3,570.98/5,355.92 = 974.12/x
  3. Step 3: Cross multiply
    3,570.98x = 5,355.92 × 974.12
  4. Step 4: Simplify right side
    3,570.98x = 5,217,308.79
  5. Step 5: Solve for x
    x = 5,217,308.79/3,570.98
  6. Step 6: Final answer
    x = 1,461.03

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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.