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Finding the Fourth Proportional to 5,666.08, 8,491.80 and 4,193.50

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Solution

The fourth proportional to 5,666.08, 8,491.80 and 4,193.50 is: 6,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.08 : 8,491.80 = 4,193.50 : x
  2. Step 2: Convert to fraction form
    5,666.08/8,491.80 = 4,193.50/x
  3. Step 3: Cross multiply
    5,666.08x = 8,491.80 × 4,193.50
  4. Step 4: Simplify right side
    5,666.08x = 35,610,363.30
  5. Step 5: Solve for x
    x = 35,610,363.30/5,666.08
  6. Step 6: Final answer
    x = 6,284.83

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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.