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Finding the Fourth Proportional to 4,309.66, 6,454.77 and 3,532.06

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Solution

The fourth proportional to 4,309.66, 6,454.77 and 3,532.06 is: 5,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.66 : 6,454.77 = 3,532.06 : x
  2. Step 2: Convert to fraction form
    4,309.66/6,454.77 = 3,532.06/x
  3. Step 3: Cross multiply
    4,309.66x = 6,454.77 × 3,532.06
  4. Step 4: Simplify right side
    4,309.66x = 22,798,634.93
  5. Step 5: Solve for x
    x = 22,798,634.93/4,309.66
  6. Step 6: Final answer
    x = 5,290.12

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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.