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Finding the Fourth Proportional to 5,765.14, 8,655.72 and 4,006

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Solution

The fourth proportional to 5,765.14, 8,655.72 and 4,006 is: 6,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.14 : 8,655.72 = 4,006 : x
  2. Step 2: Convert to fraction form
    5,765.14/8,655.72 = 4,006/x
  3. Step 3: Cross multiply
    5,765.14x = 8,655.72 × 4,006
  4. Step 4: Simplify right side
    5,765.14x = 34,674,814.32
  5. Step 5: Solve for x
    x = 34,674,814.32/5,765.14
  6. Step 6: Final answer
    x = 6,014.57

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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.