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Finding the Fourth Proportional to 3,401.40, 5,130.93 and 3,257.40

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Solution

The fourth proportional to 3,401.40, 5,130.93 and 3,257.40 is: 4,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.40 : 5,130.93 = 3,257.40 : x
  2. Step 2: Convert to fraction form
    3,401.40/5,130.93 = 3,257.40/x
  3. Step 3: Cross multiply
    3,401.40x = 5,130.93 × 3,257.40
  4. Step 4: Simplify right side
    3,401.40x = 16,713,491.38
  5. Step 5: Solve for x
    x = 16,713,491.38/3,401.40
  6. Step 6: Final answer
    x = 4,913.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.