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Finding the Fourth Proportional to 4,653.20, 6,984.42 and 4,129.52

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Solution

The fourth proportional to 4,653.20, 6,984.42 and 4,129.52 is: 6,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.20 : 6,984.42 = 4,129.52 : x
  2. Step 2: Convert to fraction form
    4,653.20/6,984.42 = 4,129.52/x
  3. Step 3: Cross multiply
    4,653.20x = 6,984.42 × 4,129.52
  4. Step 4: Simplify right side
    4,653.20x = 28,842,302.08
  5. Step 5: Solve for x
    x = 28,842,302.08/4,653.20
  6. Step 6: Final answer
    x = 6,198.38

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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.