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Finding the Fourth Proportional to 4,309.17, 6,463.80 and 3,448.95

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Solution

The fourth proportional to 4,309.17, 6,463.80 and 3,448.95 is: 5,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.17 : 6,463.80 = 3,448.95 : x
  2. Step 2: Convert to fraction form
    4,309.17/6,463.80 = 3,448.95/x
  3. Step 3: Cross multiply
    4,309.17x = 6,463.80 × 3,448.95
  4. Step 4: Simplify right side
    4,309.17x = 22,293,323.01
  5. Step 5: Solve for x
    x = 22,293,323.01/4,309.17
  6. Step 6: Final answer
    x = 5,173.46

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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.