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Finding the Fourth Proportional to 3,750.74, 5,626.11 and 1,153.34

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Solution

The fourth proportional to 3,750.74, 5,626.11 and 1,153.34 is: 1,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.74 : 5,626.11 = 1,153.34 : x
  2. Step 2: Convert to fraction form
    3,750.74/5,626.11 = 1,153.34/x
  3. Step 3: Cross multiply
    3,750.74x = 5,626.11 × 1,153.34
  4. Step 4: Simplify right side
    3,750.74x = 6,488,817.71
  5. Step 5: Solve for x
    x = 6,488,817.71/3,750.74
  6. Step 6: Final answer
    x = 1,730.01

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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.