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Finding the Fourth Proportional to 4,397.40, 6,596.10 and 3,706.20

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Solution

The fourth proportional to 4,397.40, 6,596.10 and 3,706.20 is: 5,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.40 : 6,596.10 = 3,706.20 : x
  2. Step 2: Convert to fraction form
    4,397.40/6,596.10 = 3,706.20/x
  3. Step 3: Cross multiply
    4,397.40x = 6,596.10 × 3,706.20
  4. Step 4: Simplify right side
    4,397.40x = 24,446,465.82
  5. Step 5: Solve for x
    x = 24,446,465.82/4,397.40
  6. Step 6: Final answer
    x = 5,559.30

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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.