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Finding the Fourth Proportional to 4,829.73, 7,247 and 2,364.49

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Solution

The fourth proportional to 4,829.73, 7,247 and 2,364.49 is: 3,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.73 : 7,247 = 2,364.49 : x
  2. Step 2: Convert to fraction form
    4,829.73/7,247 = 2,364.49/x
  3. Step 3: Cross multiply
    4,829.73x = 7,247 × 2,364.49
  4. Step 4: Simplify right side
    4,829.73x = 17,135,459.03
  5. Step 5: Solve for x
    x = 17,135,459.03/4,829.73
  6. Step 6: Final answer
    x = 3,547.91

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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.