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Finding the Fourth Proportional to 4,459.70, 6,693.66 and 2,270

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Solution

The fourth proportional to 4,459.70, 6,693.66 and 2,270 is: 3,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.70 : 6,693.66 = 2,270 : x
  2. Step 2: Convert to fraction form
    4,459.70/6,693.66 = 2,270/x
  3. Step 3: Cross multiply
    4,459.70x = 6,693.66 × 2,270
  4. Step 4: Simplify right side
    4,459.70x = 15,194,608.20
  5. Step 5: Solve for x
    x = 15,194,608.20/4,459.70
  6. Step 6: Final answer
    x = 3,407.09

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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.