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Finding the Fourth Proportional to 4,473.84, 6,176.64 and 3,292.80

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Solution

The fourth proportional to 4,473.84, 6,176.64 and 3,292.80 is: 4,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.84 : 6,176.64 = 3,292.80 : x
  2. Step 2: Convert to fraction form
    4,473.84/6,176.64 = 3,292.80/x
  3. Step 3: Cross multiply
    4,473.84x = 6,176.64 × 3,292.80
  4. Step 4: Simplify right side
    4,473.84x = 20,338,440.19
  5. Step 5: Solve for x
    x = 20,338,440.19/4,473.84
  6. Step 6: Final answer
    x = 4,546.08

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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.