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Finding the Fourth Proportional to 4,074.56, 6,111.18 and 1,153.07

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Solution

The fourth proportional to 4,074.56, 6,111.18 and 1,153.07 is: 1,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.56 : 6,111.18 = 1,153.07 : x
  2. Step 2: Convert to fraction form
    4,074.56/6,111.18 = 1,153.07/x
  3. Step 3: Cross multiply
    4,074.56x = 6,111.18 × 1,153.07
  4. Step 4: Simplify right side
    4,074.56x = 7,046,587.77
  5. Step 5: Solve for x
    x = 7,046,587.77/4,074.56
  6. Step 6: Final answer
    x = 1,729.41

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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.