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Finding the Fourth Proportional to 4,805.50, 6,631.60 and 2,597.50

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Solution

The fourth proportional to 4,805.50, 6,631.60 and 2,597.50 is: 3,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.50 : 6,631.60 = 2,597.50 : x
  2. Step 2: Convert to fraction form
    4,805.50/6,631.60 = 2,597.50/x
  3. Step 3: Cross multiply
    4,805.50x = 6,631.60 × 2,597.50
  4. Step 4: Simplify right side
    4,805.50x = 17,225,581
  5. Step 5: Solve for x
    x = 17,225,581/4,805.50
  6. Step 6: Final answer
    x = 3,584.56

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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.