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Finding the Fourth Proportional to 3,750.60, 5,626.80 and 1,153.56

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Solution

The fourth proportional to 3,750.60, 5,626.80 and 1,153.56 is: 1,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.60 : 5,626.80 = 1,153.56 : x
  2. Step 2: Convert to fraction form
    3,750.60/5,626.80 = 1,153.56/x
  3. Step 3: Cross multiply
    3,750.60x = 5,626.80 × 1,153.56
  4. Step 4: Simplify right side
    3,750.60x = 6,490,851.41
  5. Step 5: Solve for x
    x = 6,490,851.41/3,750.60
  6. Step 6: Final answer
    x = 1,730.62

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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.