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Finding the Fourth Proportional to 4,346.76, 5,989.14 and 2,947.08

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Solution

The fourth proportional to 4,346.76, 5,989.14 and 2,947.08 is: 4,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.76 : 5,989.14 = 2,947.08 : x
  2. Step 2: Convert to fraction form
    4,346.76/5,989.14 = 2,947.08/x
  3. Step 3: Cross multiply
    4,346.76x = 5,989.14 × 2,947.08
  4. Step 4: Simplify right side
    4,346.76x = 17,650,474.71
  5. Step 5: Solve for x
    x = 17,650,474.71/4,346.76
  6. Step 6: Final answer
    x = 4,060.60

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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.