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Finding the Fourth Proportional to 4,866.96, 7,308.69 and 3,181.14

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Solution

The fourth proportional to 4,866.96, 7,308.69 and 3,181.14 is: 4,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.96 : 7,308.69 = 3,181.14 : x
  2. Step 2: Convert to fraction form
    4,866.96/7,308.69 = 3,181.14/x
  3. Step 3: Cross multiply
    4,866.96x = 7,308.69 × 3,181.14
  4. Step 4: Simplify right side
    4,866.96x = 23,249,966.11
  5. Step 5: Solve for x
    x = 23,249,966.11/4,866.96
  6. Step 6: Final answer
    x = 4,777.10

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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.