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Finding the Fourth Proportional to 4,964.50, 7,450.20 and 1,886.50

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Solution

The fourth proportional to 4,964.50, 7,450.20 and 1,886.50 is: 2,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.50 : 7,450.20 = 1,886.50 : x
  2. Step 2: Convert to fraction form
    4,964.50/7,450.20 = 1,886.50/x
  3. Step 3: Cross multiply
    4,964.50x = 7,450.20 × 1,886.50
  4. Step 4: Simplify right side
    4,964.50x = 14,054,802.30
  5. Step 5: Solve for x
    x = 14,054,802.30/4,964.50
  6. Step 6: Final answer
    x = 2,831.06

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Why These Related Problems?

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