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Finding the Fourth Proportional to 4,455, 6,140.82 and 3,509.30

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Solution

The fourth proportional to 4,455, 6,140.82 and 3,509.30 is: 4,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455 : 6,140.82 = 3,509.30 : x
  2. Step 2: Convert to fraction form
    4,455/6,140.82 = 3,509.30/x
  3. Step 3: Cross multiply
    4,455x = 6,140.82 × 3,509.30
  4. Step 4: Simplify right side
    4,455x = 21,549,940.15
  5. Step 5: Solve for x
    x = 21,549,940.15/4,455
  6. Step 6: Final answer
    x = 4,837.25

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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.