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Finding the Fourth Proportional to 4,977.12, 7,466.84 and 1,857.14

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Solution

The fourth proportional to 4,977.12, 7,466.84 and 1,857.14 is: 2,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.12 : 7,466.84 = 1,857.14 : x
  2. Step 2: Convert to fraction form
    4,977.12/7,466.84 = 1,857.14/x
  3. Step 3: Cross multiply
    4,977.12x = 7,466.84 × 1,857.14
  4. Step 4: Simplify right side
    4,977.12x = 13,866,967.24
  5. Step 5: Solve for x
    x = 13,866,967.24/4,977.12
  6. Step 6: Final answer
    x = 2,786.14

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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.