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Finding the Fourth Proportional to 4,826.65, 7,241.06 and 2,053.42

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Solution

The fourth proportional to 4,826.65, 7,241.06 and 2,053.42 is: 3,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.65 : 7,241.06 = 2,053.42 : x
  2. Step 2: Convert to fraction form
    4,826.65/7,241.06 = 2,053.42/x
  3. Step 3: Cross multiply
    4,826.65x = 7,241.06 × 2,053.42
  4. Step 4: Simplify right side
    4,826.65x = 14,868,937.43
  5. Step 5: Solve for x
    x = 14,868,937.43/4,826.65
  6. Step 6: Final answer
    x = 3,080.59

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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.