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Finding the Fourth Proportional to 5,710.93, 8,563.15 and 4,168.69

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Solution

The fourth proportional to 5,710.93, 8,563.15 and 4,168.69 is: 6,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.93 : 8,563.15 = 4,168.69 : x
  2. Step 2: Convert to fraction form
    5,710.93/8,563.15 = 4,168.69/x
  3. Step 3: Cross multiply
    5,710.93x = 8,563.15 × 4,168.69
  4. Step 4: Simplify right side
    5,710.93x = 35,697,101.58
  5. Step 5: Solve for x
    x = 35,697,101.58/5,710.93
  6. Step 6: Final answer
    x = 6,250.67

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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.