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Finding the Fourth Proportional to 3,880.48, 5,817.48 and 3,572.96

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Solution

The fourth proportional to 3,880.48, 5,817.48 and 3,572.96 is: 5,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.48 : 5,817.48 = 3,572.96 : x
  2. Step 2: Convert to fraction form
    3,880.48/5,817.48 = 3,572.96/x
  3. Step 3: Cross multiply
    3,880.48x = 5,817.48 × 3,572.96
  4. Step 4: Simplify right side
    3,880.48x = 20,785,623.34
  5. Step 5: Solve for x
    x = 20,785,623.34/3,880.48
  6. Step 6: Final answer
    x = 5,356.46

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Why These Related Problems?

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