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Finding the Fourth Proportional to 4,713.40, 7,068.06 and 2,114.53

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Solution

The fourth proportional to 4,713.40, 7,068.06 and 2,114.53 is: 3,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.40 : 7,068.06 = 2,114.53 : x
  2. Step 2: Convert to fraction form
    4,713.40/7,068.06 = 2,114.53/x
  3. Step 3: Cross multiply
    4,713.40x = 7,068.06 × 2,114.53
  4. Step 4: Simplify right side
    4,713.40x = 14,945,624.91
  5. Step 5: Solve for x
    x = 14,945,624.91/4,713.40
  6. Step 6: Final answer
    x = 3,170.88

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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.