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Finding the Fourth Proportional to 4,687.12, 6,470.16 and 3,114.64

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Solution

The fourth proportional to 4,687.12, 6,470.16 and 3,114.64 is: 4,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.12 : 6,470.16 = 3,114.64 : x
  2. Step 2: Convert to fraction form
    4,687.12/6,470.16 = 3,114.64/x
  3. Step 3: Cross multiply
    4,687.12x = 6,470.16 × 3,114.64
  4. Step 4: Simplify right side
    4,687.12x = 20,152,219.14
  5. Step 5: Solve for x
    x = 20,152,219.14/4,687.12
  6. Step 6: Final answer
    x = 4,299.49

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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.