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Finding the Fourth Proportional to 5,947.92, 8,206.80 and 3,430.32

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Solution

The fourth proportional to 5,947.92, 8,206.80 and 3,430.32 is: 4,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.92 : 8,206.80 = 3,430.32 : x
  2. Step 2: Convert to fraction form
    5,947.92/8,206.80 = 3,430.32/x
  3. Step 3: Cross multiply
    5,947.92x = 8,206.80 × 3,430.32
  4. Step 4: Simplify right side
    5,947.92x = 28,151,950.18
  5. Step 5: Solve for x
    x = 28,151,950.18/5,947.92
  6. Step 6: Final answer
    x = 4,733.07

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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.