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Finding the Fourth Proportional to 6,071.96, 8,417.52 and 5,739.36

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Solution

The fourth proportional to 6,071.96, 8,417.52 and 5,739.36 is: 7,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.96 : 8,417.52 = 5,739.36 : x
  2. Step 2: Convert to fraction form
    6,071.96/8,417.52 = 5,739.36/x
  3. Step 3: Cross multiply
    6,071.96x = 8,417.52 × 5,739.36
  4. Step 4: Simplify right side
    6,071.96x = 48,311,146.02
  5. Step 5: Solve for x
    x = 48,311,146.02/6,071.96
  6. Step 6: Final answer
    x = 7,956.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.