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Finding the Fourth Proportional to 3,698.34, 5,548.80 and 2,312.70

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Solution

The fourth proportional to 3,698.34, 5,548.80 and 2,312.70 is: 3,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.34 : 5,548.80 = 2,312.70 : x
  2. Step 2: Convert to fraction form
    3,698.34/5,548.80 = 2,312.70/x
  3. Step 3: Cross multiply
    3,698.34x = 5,548.80 × 2,312.70
  4. Step 4: Simplify right side
    3,698.34x = 12,832,709.76
  5. Step 5: Solve for x
    x = 12,832,709.76/3,698.34
  6. Step 6: Final answer
    x = 3,469.86

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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.