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Finding the Fourth Proportional to 5,861.77, 8,779.57 and 4,536.50

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Solution

The fourth proportional to 5,861.77, 8,779.57 and 4,536.50 is: 6,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.77 : 8,779.57 = 4,536.50 : x
  2. Step 2: Convert to fraction form
    5,861.77/8,779.57 = 4,536.50/x
  3. Step 3: Cross multiply
    5,861.77x = 8,779.57 × 4,536.50
  4. Step 4: Simplify right side
    5,861.77x = 39,828,464.07
  5. Step 5: Solve for x
    x = 39,828,464.07/5,861.77
  6. Step 6: Final answer
    x = 6,794.62

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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.