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Finding the Fourth Proportional to 3,790.16, 5,692.29 and 3,098.30

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Solution

The fourth proportional to 3,790.16, 5,692.29 and 3,098.30 is: 4,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.16 : 5,692.29 = 3,098.30 : x
  2. Step 2: Convert to fraction form
    3,790.16/5,692.29 = 3,098.30/x
  3. Step 3: Cross multiply
    3,790.16x = 5,692.29 × 3,098.30
  4. Step 4: Simplify right side
    3,790.16x = 17,636,393.65
  5. Step 5: Solve for x
    x = 17,636,393.65/3,790.16
  6. Step 6: Final answer
    x = 4,653.21

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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.