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Finding the Fourth Proportional to 3,570.08, 5,354.51 and 972.41

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Solution

The fourth proportional to 3,570.08, 5,354.51 and 972.41 is: 1,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.08 : 5,354.51 = 972.41 : x
  2. Step 2: Convert to fraction form
    3,570.08/5,354.51 = 972.41/x
  3. Step 3: Cross multiply
    3,570.08x = 5,354.51 × 972.41
  4. Step 4: Simplify right side
    3,570.08x = 5,206,747.43
  5. Step 5: Solve for x
    x = 5,206,747.43/3,570.08
  6. Step 6: Final answer
    x = 1,458.44

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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.