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Finding the Fourth Proportional to 4,347, 6,003.72 and 2,947.32

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Solution

The fourth proportional to 4,347, 6,003.72 and 2,947.32 is: 4,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347 : 6,003.72 = 2,947.32 : x
  2. Step 2: Convert to fraction form
    4,347/6,003.72 = 2,947.32/x
  3. Step 3: Cross multiply
    4,347x = 6,003.72 × 2,947.32
  4. Step 4: Simplify right side
    4,347x = 17,694,884.03
  5. Step 5: Solve for x
    x = 17,694,884.03/4,347
  6. Step 6: Final answer
    x = 4,070.60

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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.