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Finding the Fourth Proportional to 5,688.58, 8,529 and 1,988.77

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Solution

The fourth proportional to 5,688.58, 8,529 and 1,988.77 is: 2,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.58 : 8,529 = 1,988.77 : x
  2. Step 2: Convert to fraction form
    5,688.58/8,529 = 1,988.77/x
  3. Step 3: Cross multiply
    5,688.58x = 8,529 × 1,988.77
  4. Step 4: Simplify right side
    5,688.58x = 16,962,219.33
  5. Step 5: Solve for x
    x = 16,962,219.33/5,688.58
  6. Step 6: Final answer
    x = 2,981.80

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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.