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Finding the Fourth Proportional to 4,821.60, 7,232.60 and 1,534.60

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Solution

The fourth proportional to 4,821.60, 7,232.60 and 1,534.60 is: 2,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.60 : 7,232.60 = 1,534.60 : x
  2. Step 2: Convert to fraction form
    4,821.60/7,232.60 = 1,534.60/x
  3. Step 3: Cross multiply
    4,821.60x = 7,232.60 × 1,534.60
  4. Step 4: Simplify right side
    4,821.60x = 11,099,147.96
  5. Step 5: Solve for x
    x = 11,099,147.96/4,821.60
  6. Step 6: Final answer
    x = 2,301.96

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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.