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Finding the Fourth Proportional to 4,074.71, 6,113.07 and 1,153.04

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Solution

The fourth proportional to 4,074.71, 6,113.07 and 1,153.04 is: 1,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.71 : 6,113.07 = 1,153.04 : x
  2. Step 2: Convert to fraction form
    4,074.71/6,113.07 = 1,153.04/x
  3. Step 3: Cross multiply
    4,074.71x = 6,113.07 × 1,153.04
  4. Step 4: Simplify right side
    4,074.71x = 7,048,583.67
  5. Step 5: Solve for x
    x = 7,048,583.67/4,074.71
  6. Step 6: Final answer
    x = 1,729.84

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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.