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Finding the Fourth Proportional to 4,821.39, 7,232.49 and 1,533.60

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Solution

The fourth proportional to 4,821.39, 7,232.49 and 1,533.60 is: 2,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.39 : 7,232.49 = 1,533.60 : x
  2. Step 2: Convert to fraction form
    4,821.39/7,232.49 = 1,533.60/x
  3. Step 3: Cross multiply
    4,821.39x = 7,232.49 × 1,533.60
  4. Step 4: Simplify right side
    4,821.39x = 11,091,746.66
  5. Step 5: Solve for x
    x = 11,091,746.66/4,821.39
  6. Step 6: Final answer
    x = 2,300.53

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