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Finding the Fourth Proportional to 3,746.70, 5,620.05 and 3,722.40

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Solution

The fourth proportional to 3,746.70, 5,620.05 and 3,722.40 is: 5,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.70 : 5,620.05 = 3,722.40 : x
  2. Step 2: Convert to fraction form
    3,746.70/5,620.05 = 3,722.40/x
  3. Step 3: Cross multiply
    3,746.70x = 5,620.05 × 3,722.40
  4. Step 4: Simplify right side
    3,746.70x = 20,920,074.12
  5. Step 5: Solve for x
    x = 20,920,074.12/3,746.70
  6. Step 6: Final answer
    x = 5,583.60

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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.