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Finding the Fourth Proportional to 5,689.58, 8,530.50 and 1,989.77

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Solution

The fourth proportional to 5,689.58, 8,530.50 and 1,989.77 is: 2,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.58 : 8,530.50 = 1,989.77 : x
  2. Step 2: Convert to fraction form
    5,689.58/8,530.50 = 1,989.77/x
  3. Step 3: Cross multiply
    5,689.58x = 8,530.50 × 1,989.77
  4. Step 4: Simplify right side
    5,689.58x = 16,973,732.99
  5. Step 5: Solve for x
    x = 16,973,732.99/5,689.58
  6. Step 6: Final answer
    x = 2,983.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.