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Finding the Fourth Proportional to 6,416.24, 8,854.83 and 3,584.52

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Solution

The fourth proportional to 6,416.24, 8,854.83 and 3,584.52 is: 4,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.24 : 8,854.83 = 3,584.52 : x
  2. Step 2: Convert to fraction form
    6,416.24/8,854.83 = 3,584.52/x
  3. Step 3: Cross multiply
    6,416.24x = 8,854.83 × 3,584.52
  4. Step 4: Simplify right side
    6,416.24x = 31,740,315.23
  5. Step 5: Solve for x
    x = 31,740,315.23/6,416.24
  6. Step 6: Final answer
    x = 4,946.88

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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.