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Finding the Fourth Proportional to 3,432.22, 5,148.33 and 835.16

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Solution

The fourth proportional to 3,432.22, 5,148.33 and 835.16 is: 1,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.22 : 5,148.33 = 835.16 : x
  2. Step 2: Convert to fraction form
    3,432.22/5,148.33 = 835.16/x
  3. Step 3: Cross multiply
    3,432.22x = 5,148.33 × 835.16
  4. Step 4: Simplify right side
    3,432.22x = 4,299,686.42
  5. Step 5: Solve for x
    x = 4,299,686.42/3,432.22
  6. Step 6: Final answer
    x = 1,252.74

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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.