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Finding the Fourth Proportional to 5,771.81, 7,964.51 and 3,534.32

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Solution

The fourth proportional to 5,771.81, 7,964.51 and 3,534.32 is: 4,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.81 : 7,964.51 = 3,534.32 : x
  2. Step 2: Convert to fraction form
    5,771.81/7,964.51 = 3,534.32/x
  3. Step 3: Cross multiply
    5,771.81x = 7,964.51 × 3,534.32
  4. Step 4: Simplify right side
    5,771.81x = 28,149,096.00
  5. Step 5: Solve for x
    x = 28,149,096.00/5,771.81
  6. Step 6: Final answer
    x = 4,877.00

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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.