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Finding the Fourth Proportional to 5,779.86, 8,674.65 and 3,007.50

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Solution

The fourth proportional to 5,779.86, 8,674.65 and 3,007.50 is: 4,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.86 : 8,674.65 = 3,007.50 : x
  2. Step 2: Convert to fraction form
    5,779.86/8,674.65 = 3,007.50/x
  3. Step 3: Cross multiply
    5,779.86x = 8,674.65 × 3,007.50
  4. Step 4: Simplify right side
    5,779.86x = 26,089,009.88
  5. Step 5: Solve for x
    x = 26,089,009.88/5,779.86
  6. Step 6: Final answer
    x = 4,513.78

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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.