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Finding the Fourth Proportional to 4,723.84, 6,520.26 and 3,156.49

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Solution

The fourth proportional to 4,723.84, 6,520.26 and 3,156.49 is: 4,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.84 : 6,520.26 = 3,156.49 : x
  2. Step 2: Convert to fraction form
    4,723.84/6,520.26 = 3,156.49/x
  3. Step 3: Cross multiply
    4,723.84x = 6,520.26 × 3,156.49
  4. Step 4: Simplify right side
    4,723.84x = 20,581,135.49
  5. Step 5: Solve for x
    x = 20,581,135.49/4,723.84
  6. Step 6: Final answer
    x = 4,356.87

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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.