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Finding the Fourth Proportional to 4,682.10, 7,017.50 and 1,718.15

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Solution

The fourth proportional to 4,682.10, 7,017.50 and 1,718.15 is: 2,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.10 : 7,017.50 = 1,718.15 : x
  2. Step 2: Convert to fraction form
    4,682.10/7,017.50 = 1,718.15/x
  3. Step 3: Cross multiply
    4,682.10x = 7,017.50 × 1,718.15
  4. Step 4: Simplify right side
    4,682.10x = 12,057,109.03
  5. Step 5: Solve for x
    x = 12,057,109.03/4,682.10
  6. Step 6: Final answer
    x = 2,575.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.