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Finding the Fourth Proportional to 3,650.68, 5,476.47 and 1,570.96

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Solution

The fourth proportional to 3,650.68, 5,476.47 and 1,570.96 is: 2,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.68 : 5,476.47 = 1,570.96 : x
  2. Step 2: Convert to fraction form
    3,650.68/5,476.47 = 1,570.96/x
  3. Step 3: Cross multiply
    3,650.68x = 5,476.47 × 1,570.96
  4. Step 4: Simplify right side
    3,650.68x = 8,603,315.31
  5. Step 5: Solve for x
    x = 8,603,315.31/3,650.68
  6. Step 6: Final answer
    x = 2,356.63

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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.