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Finding the Fourth Proportional to 3,450.75, 4,762.40 and 2,124.43

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Solution

The fourth proportional to 3,450.75, 4,762.40 and 2,124.43 is: 2,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.75 : 4,762.40 = 2,124.43 : x
  2. Step 2: Convert to fraction form
    3,450.75/4,762.40 = 2,124.43/x
  3. Step 3: Cross multiply
    3,450.75x = 4,762.40 × 2,124.43
  4. Step 4: Simplify right side
    3,450.75x = 10,117,385.43
  5. Step 5: Solve for x
    x = 10,117,385.43/3,450.75
  6. Step 6: Final answer
    x = 2,931.94

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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.