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Finding the Fourth Proportional to 4,506.77, 6,756.97 and 1,731.10

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Solution

The fourth proportional to 4,506.77, 6,756.97 and 1,731.10 is: 2,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.77 : 6,756.97 = 1,731.10 : x
  2. Step 2: Convert to fraction form
    4,506.77/6,756.97 = 1,731.10/x
  3. Step 3: Cross multiply
    4,506.77x = 6,756.97 × 1,731.10
  4. Step 4: Simplify right side
    4,506.77x = 11,696,990.77
  5. Step 5: Solve for x
    x = 11,696,990.77/4,506.77
  6. Step 6: Final answer
    x = 2,595.43

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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.