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Finding the Fourth Proportional to 4,347.06, 6,517.08 and 1,747.50

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Solution

The fourth proportional to 4,347.06, 6,517.08 and 1,747.50 is: 2,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.06 : 6,517.08 = 1,747.50 : x
  2. Step 2: Convert to fraction form
    4,347.06/6,517.08 = 1,747.50/x
  3. Step 3: Cross multiply
    4,347.06x = 6,517.08 × 1,747.50
  4. Step 4: Simplify right side
    4,347.06x = 11,388,597.30
  5. Step 5: Solve for x
    x = 11,388,597.30/4,347.06
  6. Step 6: Final answer
    x = 2,619.84

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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.