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Finding the Fourth Proportional to 3,422.55, 5,133.88 and 1,573.16

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Solution

The fourth proportional to 3,422.55, 5,133.88 and 1,573.16 is: 2,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.55 : 5,133.88 = 1,573.16 : x
  2. Step 2: Convert to fraction form
    3,422.55/5,133.88 = 1,573.16/x
  3. Step 3: Cross multiply
    3,422.55x = 5,133.88 × 1,573.16
  4. Step 4: Simplify right side
    3,422.55x = 8,076,390.96
  5. Step 5: Solve for x
    x = 8,076,390.96/3,422.55
  6. Step 6: Final answer
    x = 2,359.76

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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.