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Finding the Fourth Proportional to 5,287.38, 7,931.19 and 1,777.43

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Solution

The fourth proportional to 5,287.38, 7,931.19 and 1,777.43 is: 2,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.38 : 7,931.19 = 1,777.43 : x
  2. Step 2: Convert to fraction form
    5,287.38/7,931.19 = 1,777.43/x
  3. Step 3: Cross multiply
    5,287.38x = 7,931.19 × 1,777.43
  4. Step 4: Simplify right side
    5,287.38x = 14,097,115.21
  5. Step 5: Solve for x
    x = 14,097,115.21/5,287.38
  6. Step 6: Final answer
    x = 2,666.18

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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.