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Finding the Fourth Proportional to 5,956.86, 8,223.18 and 4,071.50

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Solution

The fourth proportional to 5,956.86, 8,223.18 and 4,071.50 is: 5,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.86 : 8,223.18 = 4,071.50 : x
  2. Step 2: Convert to fraction form
    5,956.86/8,223.18 = 4,071.50/x
  3. Step 3: Cross multiply
    5,956.86x = 8,223.18 × 4,071.50
  4. Step 4: Simplify right side
    5,956.86x = 33,480,636.25
  5. Step 5: Solve for x
    x = 33,480,636.25/5,956.86
  6. Step 6: Final answer
    x = 5,620.52

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