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Finding the Fourth Proportional to 3,850.16, 5,775.53 and 1,658.34

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Solution

The fourth proportional to 3,850.16, 5,775.53 and 1,658.34 is: 2,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.16 : 5,775.53 = 1,658.34 : x
  2. Step 2: Convert to fraction form
    3,850.16/5,775.53 = 1,658.34/x
  3. Step 3: Cross multiply
    3,850.16x = 5,775.53 × 1,658.34
  4. Step 4: Simplify right side
    3,850.16x = 9,577,784.13
  5. Step 5: Solve for x
    x = 9,577,784.13/3,850.16
  6. Step 6: Final answer
    x = 2,487.64

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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.