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Finding the Fourth Proportional to 4,582, 6,324.80 and 2,719

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Solution

The fourth proportional to 4,582, 6,324.80 and 2,719 is: 3,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582 : 6,324.80 = 2,719 : x
  2. Step 2: Convert to fraction form
    4,582/6,324.80 = 2,719/x
  3. Step 3: Cross multiply
    4,582x = 6,324.80 × 2,719
  4. Step 4: Simplify right side
    4,582x = 17,197,131.20
  5. Step 5: Solve for x
    x = 17,197,131.20/4,582
  6. Step 6: Final answer
    x = 3,753.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.