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Finding the Fourth Proportional to 3,777.80, 5,664.60 and 1,312.40

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Solution

The fourth proportional to 3,777.80, 5,664.60 and 1,312.40 is: 1,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.80 : 5,664.60 = 1,312.40 : x
  2. Step 2: Convert to fraction form
    3,777.80/5,664.60 = 1,312.40/x
  3. Step 3: Cross multiply
    3,777.80x = 5,664.60 × 1,312.40
  4. Step 4: Simplify right side
    3,777.80x = 7,434,221.04
  5. Step 5: Solve for x
    x = 7,434,221.04/3,777.80
  6. Step 6: Final answer
    x = 1,967.87

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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.