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Finding the Fourth Proportional to 4,175.46, 6,259.95 and 2,442.06

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Solution

The fourth proportional to 4,175.46, 6,259.95 and 2,442.06 is: 3,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.46 : 6,259.95 = 2,442.06 : x
  2. Step 2: Convert to fraction form
    4,175.46/6,259.95 = 2,442.06/x
  3. Step 3: Cross multiply
    4,175.46x = 6,259.95 × 2,442.06
  4. Step 4: Simplify right side
    4,175.46x = 15,287,173.50
  5. Step 5: Solve for x
    x = 15,287,173.50/4,175.46
  6. Step 6: Final answer
    x = 3,661.20

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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.