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Finding the Fourth Proportional to 3,520.40, 4,858.16 and 1,948.50

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Solution

The fourth proportional to 3,520.40, 4,858.16 and 1,948.50 is: 2,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.40 : 4,858.16 = 1,948.50 : x
  2. Step 2: Convert to fraction form
    3,520.40/4,858.16 = 1,948.50/x
  3. Step 3: Cross multiply
    3,520.40x = 4,858.16 × 1,948.50
  4. Step 4: Simplify right side
    3,520.40x = 9,466,115.02
  5. Step 5: Solve for x
    x = 9,466,115.02/3,520.40
  6. Step 6: Final answer
    x = 2,688.94

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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.