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Finding the Fourth Proportional to 3,461.36, 4,776.59 and 3,182.72

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Solution

The fourth proportional to 3,461.36, 4,776.59 and 3,182.72 is: 4,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.36 : 4,776.59 = 3,182.72 : x
  2. Step 2: Convert to fraction form
    3,461.36/4,776.59 = 3,182.72/x
  3. Step 3: Cross multiply
    3,461.36x = 4,776.59 × 3,182.72
  4. Step 4: Simplify right side
    3,461.36x = 15,202,532.61
  5. Step 5: Solve for x
    x = 15,202,532.61/3,461.36
  6. Step 6: Final answer
    x = 4,392.07

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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.