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Finding the Fourth Proportional to 4,586.86, 6,866.61 and 4,508.49

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Solution

The fourth proportional to 4,586.86, 6,866.61 and 4,508.49 is: 6,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.86 : 6,866.61 = 4,508.49 : x
  2. Step 2: Convert to fraction form
    4,586.86/6,866.61 = 4,508.49/x
  3. Step 3: Cross multiply
    4,586.86x = 6,866.61 × 4,508.49
  4. Step 4: Simplify right side
    4,586.86x = 30,958,051.36
  5. Step 5: Solve for x
    x = 30,958,051.36/4,586.86
  6. Step 6: Final answer
    x = 6,749.29

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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.