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Finding the Fourth Proportional to 3,860.81, 5,762.96 and 3,316.49

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Solution

The fourth proportional to 3,860.81, 5,762.96 and 3,316.49 is: 4,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.81 : 5,762.96 = 3,316.49 : x
  2. Step 2: Convert to fraction form
    3,860.81/5,762.96 = 3,316.49/x
  3. Step 3: Cross multiply
    3,860.81x = 5,762.96 × 3,316.49
  4. Step 4: Simplify right side
    3,860.81x = 19,112,753.81
  5. Step 5: Solve for x
    x = 19,112,753.81/3,860.81
  6. Step 6: Final answer
    x = 4,950.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.