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Finding the Fourth Proportional to 4,840.39, 7,259 and 1,552.70

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Solution

The fourth proportional to 4,840.39, 7,259 and 1,552.70 is: 2,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.39 : 7,259 = 1,552.70 : x
  2. Step 2: Convert to fraction form
    4,840.39/7,259 = 1,552.70/x
  3. Step 3: Cross multiply
    4,840.39x = 7,259 × 1,552.70
  4. Step 4: Simplify right side
    4,840.39x = 11,271,049.30
  5. Step 5: Solve for x
    x = 11,271,049.30/4,840.39
  6. Step 6: Final answer
    x = 2,328.54

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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.