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Finding the Fourth Proportional to 5,820.74, 8,035.72 and 4,673.94

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Solution

The fourth proportional to 5,820.74, 8,035.72 and 4,673.94 is: 6,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.74 : 8,035.72 = 4,673.94 : x
  2. Step 2: Convert to fraction form
    5,820.74/8,035.72 = 4,673.94/x
  3. Step 3: Cross multiply
    5,820.74x = 8,035.72 × 4,673.94
  4. Step 4: Simplify right side
    5,820.74x = 37,558,473.14
  5. Step 5: Solve for x
    x = 37,558,473.14/5,820.74
  6. Step 6: Final answer
    x = 6,452.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.