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Finding the Fourth Proportional to 4,968.06, 7,451.28 and 1,504.50

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Solution

The fourth proportional to 4,968.06, 7,451.28 and 1,504.50 is: 2,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.06 : 7,451.28 = 1,504.50 : x
  2. Step 2: Convert to fraction form
    4,968.06/7,451.28 = 1,504.50/x
  3. Step 3: Cross multiply
    4,968.06x = 7,451.28 × 1,504.50
  4. Step 4: Simplify right side
    4,968.06x = 11,210,450.76
  5. Step 5: Solve for x
    x = 11,210,450.76/4,968.06
  6. Step 6: Final answer
    x = 2,256.50

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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.