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Finding the Fourth Proportional to 3,971.60, 5,955.60 and 1,505.60

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Solution

The fourth proportional to 3,971.60, 5,955.60 and 1,505.60 is: 2,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.60 : 5,955.60 = 1,505.60 : x
  2. Step 2: Convert to fraction form
    3,971.60/5,955.60 = 1,505.60/x
  3. Step 3: Cross multiply
    3,971.60x = 5,955.60 × 1,505.60
  4. Step 4: Simplify right side
    3,971.60x = 8,966,751.36
  5. Step 5: Solve for x
    x = 8,966,751.36/3,971.60
  6. Step 6: Final answer
    x = 2,257.72

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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.