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Finding the Fourth Proportional to 6,404.25, 8,837.87 and 3,460.25

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Solution

The fourth proportional to 6,404.25, 8,837.87 and 3,460.25 is: 4,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.25 : 8,837.87 = 3,460.25 : x
  2. Step 2: Convert to fraction form
    6,404.25/8,837.87 = 3,460.25/x
  3. Step 3: Cross multiply
    6,404.25x = 8,837.87 × 3,460.25
  4. Step 4: Simplify right side
    6,404.25x = 30,581,239.67
  5. Step 5: Solve for x
    x = 30,581,239.67/6,404.25
  6. Step 6: Final answer
    x = 4,775.15

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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.