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Finding the Fourth Proportional to 5,068.90, 7,601.50 and 1,947.30

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Solution

The fourth proportional to 5,068.90, 7,601.50 and 1,947.30 is: 2,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.90 : 7,601.50 = 1,947.30 : x
  2. Step 2: Convert to fraction form
    5,068.90/7,601.50 = 1,947.30/x
  3. Step 3: Cross multiply
    5,068.90x = 7,601.50 × 1,947.30
  4. Step 4: Simplify right side
    5,068.90x = 14,802,400.95
  5. Step 5: Solve for x
    x = 14,802,400.95/5,068.90
  6. Step 6: Final answer
    x = 2,920.24

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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.