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Finding the Fourth Proportional to 4,977.60, 6,869.04 and 2,739.60

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Solution

The fourth proportional to 4,977.60, 6,869.04 and 2,739.60 is: 3,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.60 : 6,869.04 = 2,739.60 : x
  2. Step 2: Convert to fraction form
    4,977.60/6,869.04 = 2,739.60/x
  3. Step 3: Cross multiply
    4,977.60x = 6,869.04 × 2,739.60
  4. Step 4: Simplify right side
    4,977.60x = 18,818,421.98
  5. Step 5: Solve for x
    x = 18,818,421.98/4,977.60
  6. Step 6: Final answer
    x = 3,780.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.