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Finding the Fourth Proportional to 4,857.70, 7,279.35 and 4,123.30

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Solution

The fourth proportional to 4,857.70, 7,279.35 and 4,123.30 is: 6,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.70 : 7,279.35 = 4,123.30 : x
  2. Step 2: Convert to fraction form
    4,857.70/7,279.35 = 4,123.30/x
  3. Step 3: Cross multiply
    4,857.70x = 7,279.35 × 4,123.30
  4. Step 4: Simplify right side
    4,857.70x = 30,014,943.86
  5. Step 5: Solve for x
    x = 30,014,943.86/4,857.70
  6. Step 6: Final answer
    x = 6,178.84

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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.