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Finding the Fourth Proportional to 5,664.01, 8,500.27 and 2,893

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Solution

The fourth proportional to 5,664.01, 8,500.27 and 2,893 is: 4,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.01 : 8,500.27 = 2,893 : x
  2. Step 2: Convert to fraction form
    5,664.01/8,500.27 = 2,893/x
  3. Step 3: Cross multiply
    5,664.01x = 8,500.27 × 2,893
  4. Step 4: Simplify right side
    5,664.01x = 24,591,281.11
  5. Step 5: Solve for x
    x = 24,591,281.11/5,664.01
  6. Step 6: Final answer
    x = 4,341.67

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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.