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Finding the Fourth Proportional to 4,596.99, 6,327.83 and 4,006.50

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Solution

The fourth proportional to 4,596.99, 6,327.83 and 4,006.50 is: 5,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.99 : 6,327.83 = 4,006.50 : x
  2. Step 2: Convert to fraction form
    4,596.99/6,327.83 = 4,006.50/x
  3. Step 3: Cross multiply
    4,596.99x = 6,327.83 × 4,006.50
  4. Step 4: Simplify right side
    4,596.99x = 25,352,430.86
  5. Step 5: Solve for x
    x = 25,352,430.86/4,596.99
  6. Step 6: Final answer
    x = 5,515.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.