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Finding the Fourth Proportional to 5,672.12, 8,501.96 and 4,847.87

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Solution

The fourth proportional to 5,672.12, 8,501.96 and 4,847.87 is: 7,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.12 : 8,501.96 = 4,847.87 : x
  2. Step 2: Convert to fraction form
    5,672.12/8,501.96 = 4,847.87/x
  3. Step 3: Cross multiply
    5,672.12x = 8,501.96 × 4,847.87
  4. Step 4: Simplify right side
    5,672.12x = 41,216,430.20
  5. Step 5: Solve for x
    x = 41,216,430.20/5,672.12
  6. Step 6: Final answer
    x = 7,266.50

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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.