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Finding the Fourth Proportional to 4,669.99, 6,984.33 and 4,153.61

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Solution

The fourth proportional to 4,669.99, 6,984.33 and 4,153.61 is: 6,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.99 : 6,984.33 = 4,153.61 : x
  2. Step 2: Convert to fraction form
    4,669.99/6,984.33 = 4,153.61/x
  3. Step 3: Cross multiply
    4,669.99x = 6,984.33 × 4,153.61
  4. Step 4: Simplify right side
    4,669.99x = 29,010,184.82
  5. Step 5: Solve for x
    x = 29,010,184.82/4,669.99
  6. Step 6: Final answer
    x = 6,212.05

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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.