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Finding the Fourth Proportional to 3,452.37, 4,762.64 and 2,333.70

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Solution

The fourth proportional to 3,452.37, 4,762.64 and 2,333.70 is: 3,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.37 : 4,762.64 = 2,333.70 : x
  2. Step 2: Convert to fraction form
    3,452.37/4,762.64 = 2,333.70/x
  3. Step 3: Cross multiply
    3,452.37x = 4,762.64 × 2,333.70
  4. Step 4: Simplify right side
    3,452.37x = 11,114,537.49
  5. Step 5: Solve for x
    x = 11,114,537.49/3,452.37
  6. Step 6: Final answer
    x = 3,219.40

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Why These Related Problems?

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