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Finding the Fourth Proportional to 5,270.86, 7,267.08 and 4,323.16

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Solution

The fourth proportional to 5,270.86, 7,267.08 and 4,323.16 is: 5,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.86 : 7,267.08 = 4,323.16 : x
  2. Step 2: Convert to fraction form
    5,270.86/7,267.08 = 4,323.16/x
  3. Step 3: Cross multiply
    5,270.86x = 7,267.08 × 4,323.16
  4. Step 4: Simplify right side
    5,270.86x = 31,416,749.57
  5. Step 5: Solve for x
    x = 31,416,749.57/5,270.86
  6. Step 6: Final answer
    x = 5,960.46

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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.