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Finding the Fourth Proportional to 4,474.84, 6,178.02 and 3,293.80

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Solution

The fourth proportional to 4,474.84, 6,178.02 and 3,293.80 is: 4,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.84 : 6,178.02 = 3,293.80 : x
  2. Step 2: Convert to fraction form
    4,474.84/6,178.02 = 3,293.80/x
  3. Step 3: Cross multiply
    4,474.84x = 6,178.02 × 3,293.80
  4. Step 4: Simplify right side
    4,474.84x = 20,349,162.28
  5. Step 5: Solve for x
    x = 20,349,162.28/4,474.84
  6. Step 6: Final answer
    x = 4,547.46

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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.