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Finding the Fourth Proportional to 4,568.63, 6,852.94 and 1,105.88

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Solution

The fourth proportional to 4,568.63, 6,852.94 and 1,105.88 is: 1,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.63 : 6,852.94 = 1,105.88 : x
  2. Step 2: Convert to fraction form
    4,568.63/6,852.94 = 1,105.88/x
  3. Step 3: Cross multiply
    4,568.63x = 6,852.94 × 1,105.88
  4. Step 4: Simplify right side
    4,568.63x = 7,578,492.26
  5. Step 5: Solve for x
    x = 7,578,492.26/4,568.63
  6. Step 6: Final answer
    x = 1,658.81

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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.