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Finding the Fourth Proportional to 4,564.53, 6,847.17 and 1,402.67

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Solution

The fourth proportional to 4,564.53, 6,847.17 and 1,402.67 is: 2,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.53 : 6,847.17 = 1,402.67 : x
  2. Step 2: Convert to fraction form
    4,564.53/6,847.17 = 1,402.67/x
  3. Step 3: Cross multiply
    4,564.53x = 6,847.17 × 1,402.67
  4. Step 4: Simplify right side
    4,564.53x = 9,604,293.29
  5. Step 5: Solve for x
    x = 9,604,293.29/4,564.53
  6. Step 6: Final answer
    x = 2,104.11

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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.