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Finding the Fourth Proportional to 5,432.90, 8,133.90 and 3,578.42

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Solution

The fourth proportional to 5,432.90, 8,133.90 and 3,578.42 is: 5,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.90 : 8,133.90 = 3,578.42 : x
  2. Step 2: Convert to fraction form
    5,432.90/8,133.90 = 3,578.42/x
  3. Step 3: Cross multiply
    5,432.90x = 8,133.90 × 3,578.42
  4. Step 4: Simplify right side
    5,432.90x = 29,106,510.44
  5. Step 5: Solve for x
    x = 29,106,510.44/5,432.90
  6. Step 6: Final answer
    x = 5,357.45

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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.