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Finding the Fourth Proportional to 3,871.59, 5,336.55 and 3,030.93

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Solution

The fourth proportional to 3,871.59, 5,336.55 and 3,030.93 is: 4,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.59 : 5,336.55 = 3,030.93 : x
  2. Step 2: Convert to fraction form
    3,871.59/5,336.55 = 3,030.93/x
  3. Step 3: Cross multiply
    3,871.59x = 5,336.55 × 3,030.93
  4. Step 4: Simplify right side
    3,871.59x = 16,174,709.49
  5. Step 5: Solve for x
    x = 16,174,709.49/3,871.59
  6. Step 6: Final answer
    x = 4,177.80

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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.