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Finding the Fourth Proportional to 4,640.09, 6,959.45 and 1,352.30

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Solution

The fourth proportional to 4,640.09, 6,959.45 and 1,352.30 is: 2,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.09 : 6,959.45 = 1,352.30 : x
  2. Step 2: Convert to fraction form
    4,640.09/6,959.45 = 1,352.30/x
  3. Step 3: Cross multiply
    4,640.09x = 6,959.45 × 1,352.30
  4. Step 4: Simplify right side
    4,640.09x = 9,411,232.82
  5. Step 5: Solve for x
    x = 9,411,232.82/4,640.09
  6. Step 6: Final answer
    x = 2,028.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.