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Finding the Fourth Proportional to 3,751.16, 5,626.70 and 1,411.06

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Solution

The fourth proportional to 3,751.16, 5,626.70 and 1,411.06 is: 2,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.16 : 5,626.70 = 1,411.06 : x
  2. Step 2: Convert to fraction form
    3,751.16/5,626.70 = 1,411.06/x
  3. Step 3: Cross multiply
    3,751.16x = 5,626.70 × 1,411.06
  4. Step 4: Simplify right side
    3,751.16x = 7,939,611.30
  5. Step 5: Solve for x
    x = 7,939,611.30/3,751.16
  6. Step 6: Final answer
    x = 2,116.57

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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.