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Finding the Fourth Proportional to 3,402.84, 4,693.52 and 3,123.99

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Solution

The fourth proportional to 3,402.84, 4,693.52 and 3,123.99 is: 4,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.84 : 4,693.52 = 3,123.99 : x
  2. Step 2: Convert to fraction form
    3,402.84/4,693.52 = 3,123.99/x
  3. Step 3: Cross multiply
    3,402.84x = 4,693.52 × 3,123.99
  4. Step 4: Simplify right side
    3,402.84x = 14,662,493.92
  5. Step 5: Solve for x
    x = 14,662,493.92/3,402.84
  6. Step 6: Final answer
    x = 4,308.90

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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.