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Finding the Fourth Proportional to 5,316.45, 7,975.22 and 2,032.30

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Solution

The fourth proportional to 5,316.45, 7,975.22 and 2,032.30 is: 3,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.45 : 7,975.22 = 2,032.30 : x
  2. Step 2: Convert to fraction form
    5,316.45/7,975.22 = 2,032.30/x
  3. Step 3: Cross multiply
    5,316.45x = 7,975.22 × 2,032.30
  4. Step 4: Simplify right side
    5,316.45x = 16,208,039.41
  5. Step 5: Solve for x
    x = 16,208,039.41/5,316.45
  6. Step 6: Final answer
    x = 3,048.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.