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Finding the Fourth Proportional to 5,785.74, 8,677.80 and 2,087.46

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Solution

The fourth proportional to 5,785.74, 8,677.80 and 2,087.46 is: 3,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.74 : 8,677.80 = 2,087.46 : x
  2. Step 2: Convert to fraction form
    5,785.74/8,677.80 = 2,087.46/x
  3. Step 3: Cross multiply
    5,785.74x = 8,677.80 × 2,087.46
  4. Step 4: Simplify right side
    5,785.74x = 18,114,560.39
  5. Step 5: Solve for x
    x = 18,114,560.39/5,785.74
  6. Step 6: Final answer
    x = 3,130.90

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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.