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Finding the Fourth Proportional to 4,798.58, 7,185.63 and 3,826.10

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Solution

The fourth proportional to 4,798.58, 7,185.63 and 3,826.10 is: 5,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.58 : 7,185.63 = 3,826.10 : x
  2. Step 2: Convert to fraction form
    4,798.58/7,185.63 = 3,826.10/x
  3. Step 3: Cross multiply
    4,798.58x = 7,185.63 × 3,826.10
  4. Step 4: Simplify right side
    4,798.58x = 27,492,938.94
  5. Step 5: Solve for x
    x = 27,492,938.94/4,798.58
  6. Step 6: Final answer
    x = 5,729.39

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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.