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Finding the Fourth Proportional to 4,640.10, 6,403.64 and 3,065.46

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Solution

The fourth proportional to 4,640.10, 6,403.64 and 3,065.46 is: 4,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.10 : 6,403.64 = 3,065.46 : x
  2. Step 2: Convert to fraction form
    4,640.10/6,403.64 = 3,065.46/x
  3. Step 3: Cross multiply
    4,640.10x = 6,403.64 × 3,065.46
  4. Step 4: Simplify right side
    4,640.10x = 19,630,086.95
  5. Step 5: Solve for x
    x = 19,630,086.95/4,640.10
  6. Step 6: Final answer
    x = 4,230.53

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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.