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Finding the Fourth Proportional to 6,460.55, 8,914.90 and 3,628.24

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Solution

The fourth proportional to 6,460.55, 8,914.90 and 3,628.24 is: 5,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.55 : 8,914.90 = 3,628.24 : x
  2. Step 2: Convert to fraction form
    6,460.55/8,914.90 = 3,628.24/x
  3. Step 3: Cross multiply
    6,460.55x = 8,914.90 × 3,628.24
  4. Step 4: Simplify right side
    6,460.55x = 32,345,379.66
  5. Step 5: Solve for x
    x = 32,345,379.66/6,460.55
  6. Step 6: Final answer
    x = 5,006.60

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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.