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Finding the Fourth Proportional to 5,775.84, 7,971.90 and 3,650.02

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Solution

The fourth proportional to 5,775.84, 7,971.90 and 3,650.02 is: 5,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.84 : 7,971.90 = 3,650.02 : x
  2. Step 2: Convert to fraction form
    5,775.84/7,971.90 = 3,650.02/x
  3. Step 3: Cross multiply
    5,775.84x = 7,971.90 × 3,650.02
  4. Step 4: Simplify right side
    5,775.84x = 29,097,576.19
  5. Step 5: Solve for x
    x = 29,097,576.19/5,775.84
  6. Step 6: Final answer
    x = 5,037.81

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Why These Related Problems?

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