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Finding the Fourth Proportional to 5,425.64, 7,487.38 and 2,941.64

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Solution

The fourth proportional to 5,425.64, 7,487.38 and 2,941.64 is: 4,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.64 : 7,487.38 = 2,941.64 : x
  2. Step 2: Convert to fraction form
    5,425.64/7,487.38 = 2,941.64/x
  3. Step 3: Cross multiply
    5,425.64x = 7,487.38 × 2,941.64
  4. Step 4: Simplify right side
    5,425.64x = 22,025,176.50
  5. Step 5: Solve for x
    x = 22,025,176.50/5,425.64
  6. Step 6: Final answer
    x = 4,059.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.