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Finding the Fourth Proportional to 6,462, 8,918.28 and 3,668.40

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Solution

The fourth proportional to 6,462, 8,918.28 and 3,668.40 is: 5,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462 : 8,918.28 = 3,668.40 : x
  2. Step 2: Convert to fraction form
    6,462/8,918.28 = 3,668.40/x
  3. Step 3: Cross multiply
    6,462x = 8,918.28 × 3,668.40
  4. Step 4: Simplify right side
    6,462x = 32,715,818.35
  5. Step 5: Solve for x
    x = 32,715,818.35/6,462
  6. Step 6: Final answer
    x = 5,062.80

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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.