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Finding the Fourth Proportional to 5,675.08, 7,831.20 and 3,316.72

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Solution

The fourth proportional to 5,675.08, 7,831.20 and 3,316.72 is: 4,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.08 : 7,831.20 = 3,316.72 : x
  2. Step 2: Convert to fraction form
    5,675.08/7,831.20 = 3,316.72/x
  3. Step 3: Cross multiply
    5,675.08x = 7,831.20 × 3,316.72
  4. Step 4: Simplify right side
    5,675.08x = 25,973,897.66
  5. Step 5: Solve for x
    x = 25,973,897.66/5,675.08
  6. Step 6: Final answer
    x = 4,576.83

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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.