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Finding the Fourth Proportional to 4,640.44, 6,406.14 and 3,026.08

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Solution

The fourth proportional to 4,640.44, 6,406.14 and 3,026.08 is: 4,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.44 : 6,406.14 = 3,026.08 : x
  2. Step 2: Convert to fraction form
    4,640.44/6,406.14 = 3,026.08/x
  3. Step 3: Cross multiply
    4,640.44x = 6,406.14 × 3,026.08
  4. Step 4: Simplify right side
    4,640.44x = 19,385,492.13
  5. Step 5: Solve for x
    x = 19,385,492.13/4,640.44
  6. Step 6: Final answer
    x = 4,177.51

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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.