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Finding the Fourth Proportional to 4,857.47, 7,284.87 and 1,346.64

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Solution

The fourth proportional to 4,857.47, 7,284.87 and 1,346.64 is: 2,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.47 : 7,284.87 = 1,346.64 : x
  2. Step 2: Convert to fraction form
    4,857.47/7,284.87 = 1,346.64/x
  3. Step 3: Cross multiply
    4,857.47x = 7,284.87 × 1,346.64
  4. Step 4: Simplify right side
    4,857.47x = 9,810,097.34
  5. Step 5: Solve for x
    x = 9,810,097.34/4,857.47
  6. Step 6: Final answer
    x = 2,019.59

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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.