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Finding the Fourth Proportional to 4,309.47, 5,947.16 and 3,366.36

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Solution

The fourth proportional to 4,309.47, 5,947.16 and 3,366.36 is: 4,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.47 : 5,947.16 = 3,366.36 : x
  2. Step 2: Convert to fraction form
    4,309.47/5,947.16 = 3,366.36/x
  3. Step 3: Cross multiply
    4,309.47x = 5,947.16 × 3,366.36
  4. Step 4: Simplify right side
    4,309.47x = 20,020,264.71
  5. Step 5: Solve for x
    x = 20,020,264.71/4,309.47
  6. Step 6: Final answer
    x = 4,645.64

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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.