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Finding the Fourth Proportional to 4,709.25, 6,498.72 and 3,384.27

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Solution

The fourth proportional to 4,709.25, 6,498.72 and 3,384.27 is: 4,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.25 : 6,498.72 = 3,384.27 : x
  2. Step 2: Convert to fraction form
    4,709.25/6,498.72 = 3,384.27/x
  3. Step 3: Cross multiply
    4,709.25x = 6,498.72 × 3,384.27
  4. Step 4: Simplify right side
    4,709.25x = 21,993,423.13
  5. Step 5: Solve for x
    x = 21,993,423.13/4,709.25
  6. Step 6: Final answer
    x = 4,670.26

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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.