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Finding the Fourth Proportional to 4,977.60, 7,466.16 and 1,857.60

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Solution

The fourth proportional to 4,977.60, 7,466.16 and 1,857.60 is: 2,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.60 : 7,466.16 = 1,857.60 : x
  2. Step 2: Convert to fraction form
    4,977.60/7,466.16 = 1,857.60/x
  3. Step 3: Cross multiply
    4,977.60x = 7,466.16 × 1,857.60
  4. Step 4: Simplify right side
    4,977.60x = 13,869,138.82
  5. Step 5: Solve for x
    x = 13,869,138.82/4,977.60
  6. Step 6: Final answer
    x = 2,786.31

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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.