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Finding the Fourth Proportional to 4,844.70, 7,281.45 and 4,211.10

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Solution

The fourth proportional to 4,844.70, 7,281.45 and 4,211.10 is: 6,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.70 : 7,281.45 = 4,211.10 : x
  2. Step 2: Convert to fraction form
    4,844.70/7,281.45 = 4,211.10/x
  3. Step 3: Cross multiply
    4,844.70x = 7,281.45 × 4,211.10
  4. Step 4: Simplify right side
    4,844.70x = 30,662,914.10
  5. Step 5: Solve for x
    x = 30,662,914.10/4,844.70
  6. Step 6: Final answer
    x = 6,329.17

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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.