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Finding the Fourth Proportional to 4,510.48, 6,226.92 and 3,466

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Solution

The fourth proportional to 4,510.48, 6,226.92 and 3,466 is: 4,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.48 : 6,226.92 = 3,466 : x
  2. Step 2: Convert to fraction form
    4,510.48/6,226.92 = 3,466/x
  3. Step 3: Cross multiply
    4,510.48x = 6,226.92 × 3,466
  4. Step 4: Simplify right side
    4,510.48x = 21,582,504.72
  5. Step 5: Solve for x
    x = 21,582,504.72/4,510.48
  6. Step 6: Final answer
    x = 4,784.97

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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.