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Finding the Fourth Proportional to 4,801.60, 7,193.16 and 2,947.30

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Solution

The fourth proportional to 4,801.60, 7,193.16 and 2,947.30 is: 4,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.60 : 7,193.16 = 2,947.30 : x
  2. Step 2: Convert to fraction form
    4,801.60/7,193.16 = 2,947.30/x
  3. Step 3: Cross multiply
    4,801.60x = 7,193.16 × 2,947.30
  4. Step 4: Simplify right side
    4,801.60x = 21,200,400.47
  5. Step 5: Solve for x
    x = 21,200,400.47/4,801.60
  6. Step 6: Final answer
    x = 4,415.28

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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.