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Finding the Fourth Proportional to 5,762.28, 7,941.60 and 4,187.64

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Solution

The fourth proportional to 5,762.28, 7,941.60 and 4,187.64 is: 5,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.28 : 7,941.60 = 4,187.64 : x
  2. Step 2: Convert to fraction form
    5,762.28/7,941.60 = 4,187.64/x
  3. Step 3: Cross multiply
    5,762.28x = 7,941.60 × 4,187.64
  4. Step 4: Simplify right side
    5,762.28x = 33,256,561.82
  5. Step 5: Solve for x
    x = 33,256,561.82/5,762.28
  6. Step 6: Final answer
    x = 5,771.42

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1.5x scale

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.