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Finding the Fourth Proportional to 3,496.76, 4,825.62 and 1,903.50

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Solution

The fourth proportional to 3,496.76, 4,825.62 and 1,903.50 is: 2,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.76 : 4,825.62 = 1,903.50 : x
  2. Step 2: Convert to fraction form
    3,496.76/4,825.62 = 1,903.50/x
  3. Step 3: Cross multiply
    3,496.76x = 4,825.62 × 1,903.50
  4. Step 4: Simplify right side
    3,496.76x = 9,185,567.67
  5. Step 5: Solve for x
    x = 9,185,567.67/3,496.76
  6. Step 6: Final answer
    x = 2,626.88

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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.