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Finding the Fourth Proportional to 3,455.34, 4,768.46 and 2,129.92

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Solution

The fourth proportional to 3,455.34, 4,768.46 and 2,129.92 is: 2,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.34 : 4,768.46 = 2,129.92 : x
  2. Step 2: Convert to fraction form
    3,455.34/4,768.46 = 2,129.92/x
  3. Step 3: Cross multiply
    3,455.34x = 4,768.46 × 2,129.92
  4. Step 4: Simplify right side
    3,455.34x = 10,156,438.32
  5. Step 5: Solve for x
    x = 10,156,438.32/3,455.34
  6. Step 6: Final answer
    x = 2,939.35

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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.