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Finding the Fourth Proportional to 3,426.95, 5,140.29 and 2,383.94

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Solution

The fourth proportional to 3,426.95, 5,140.29 and 2,383.94 is: 3,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.95 : 5,140.29 = 2,383.94 : x
  2. Step 2: Convert to fraction form
    3,426.95/5,140.29 = 2,383.94/x
  3. Step 3: Cross multiply
    3,426.95x = 5,140.29 × 2,383.94
  4. Step 4: Simplify right side
    3,426.95x = 12,254,142.94
  5. Step 5: Solve for x
    x = 12,254,142.94/3,426.95
  6. Step 6: Final answer
    x = 3,575.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.