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Finding the Fourth Proportional to 5,836.67, 8,742.13 and 4,824.51

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Solution

The fourth proportional to 5,836.67, 8,742.13 and 4,824.51 is: 7,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.67 : 8,742.13 = 4,824.51 : x
  2. Step 2: Convert to fraction form
    5,836.67/8,742.13 = 4,824.51/x
  3. Step 3: Cross multiply
    5,836.67x = 8,742.13 × 4,824.51
  4. Step 4: Simplify right side
    5,836.67x = 42,176,514.33
  5. Step 5: Solve for x
    x = 42,176,514.33/5,836.67
  6. Step 6: Final answer
    x = 7,226.13

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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.