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Finding the Fourth Proportional to 4,175.44, 6,264.45 and 1,710.45

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Solution

The fourth proportional to 4,175.44, 6,264.45 and 1,710.45 is: 2,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.44 : 6,264.45 = 1,710.45 : x
  2. Step 2: Convert to fraction form
    4,175.44/6,264.45 = 1,710.45/x
  3. Step 3: Cross multiply
    4,175.44x = 6,264.45 × 1,710.45
  4. Step 4: Simplify right side
    4,175.44x = 10,715,028.50
  5. Step 5: Solve for x
    x = 10,715,028.50/4,175.44
  6. Step 6: Final answer
    x = 2,566.20

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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.