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Finding the Fourth Proportional to 5,789, 8,684.98 and 1,685

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Solution

The fourth proportional to 5,789, 8,684.98 and 1,685 is: 2,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789 : 8,684.98 = 1,685 : x
  2. Step 2: Convert to fraction form
    5,789/8,684.98 = 1,685/x
  3. Step 3: Cross multiply
    5,789x = 8,684.98 × 1,685
  4. Step 4: Simplify right side
    5,789x = 14,634,191.30
  5. Step 5: Solve for x
    x = 14,634,191.30/5,789
  6. Step 6: Final answer
    x = 2,527.93

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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.