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Finding the Fourth Proportional to 3,903.14, 5,386.10 and 2,134.64

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Solution

The fourth proportional to 3,903.14, 5,386.10 and 2,134.64 is: 2,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.14 : 5,386.10 = 2,134.64 : x
  2. Step 2: Convert to fraction form
    3,903.14/5,386.10 = 2,134.64/x
  3. Step 3: Cross multiply
    3,903.14x = 5,386.10 × 2,134.64
  4. Step 4: Simplify right side
    3,903.14x = 11,497,384.50
  5. Step 5: Solve for x
    x = 11,497,384.50/3,903.14
  6. Step 6: Final answer
    x = 2,945.68

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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.