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Finding the Fourth Proportional to 4,530.52, 6,782.82 and 3,283.66

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Solution

The fourth proportional to 4,530.52, 6,782.82 and 3,283.66 is: 4,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.52 : 6,782.82 = 3,283.66 : x
  2. Step 2: Convert to fraction form
    4,530.52/6,782.82 = 3,283.66/x
  3. Step 3: Cross multiply
    4,530.52x = 6,782.82 × 3,283.66
  4. Step 4: Simplify right side
    4,530.52x = 22,272,474.72
  5. Step 5: Solve for x
    x = 22,272,474.72/4,530.52
  6. Step 6: Final answer
    x = 4,916.10

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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.