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Finding the Fourth Proportional to 4,969.06, 7,452.78 and 1,505.50

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Solution

The fourth proportional to 4,969.06, 7,452.78 and 1,505.50 is: 2,258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.06 : 7,452.78 = 1,505.50 : x
  2. Step 2: Convert to fraction form
    4,969.06/7,452.78 = 1,505.50/x
  3. Step 3: Cross multiply
    4,969.06x = 7,452.78 × 1,505.50
  4. Step 4: Simplify right side
    4,969.06x = 11,220,160.29
  5. Step 5: Solve for x
    x = 11,220,160.29/4,969.06
  6. Step 6: Final answer
    x = 2,258.00

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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.