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Finding the Fourth Proportional to 3,459.33, 5,209.52 and 3,116.70

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Solution

The fourth proportional to 3,459.33, 5,209.52 and 3,116.70 is: 4,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.33 : 5,209.52 = 3,116.70 : x
  2. Step 2: Convert to fraction form
    3,459.33/5,209.52 = 3,116.70/x
  3. Step 3: Cross multiply
    3,459.33x = 5,209.52 × 3,116.70
  4. Step 4: Simplify right side
    3,459.33x = 16,236,495.40
  5. Step 5: Solve for x
    x = 16,236,495.40/3,459.33
  6. Step 6: Final answer
    x = 4,693.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.