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Finding the Fourth Proportional to 4,359.69, 6,539.31 and 1,586.32

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Solution

The fourth proportional to 4,359.69, 6,539.31 and 1,586.32 is: 2,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359.69 : 6,539.31 = 1,586.32 : x
  2. Step 2: Convert to fraction form
    4,359.69/6,539.31 = 1,586.32/x
  3. Step 3: Cross multiply
    4,359.69x = 6,539.31 × 1,586.32
  4. Step 4: Simplify right side
    4,359.69x = 10,373,421.89
  5. Step 5: Solve for x
    x = 10,373,421.89/4,359.69
  6. Step 6: Final answer
    x = 2,379.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.