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Finding the Fourth Proportional to 4,096.52, 6,144.80 and 1,175

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Solution

The fourth proportional to 4,096.52, 6,144.80 and 1,175 is: 1,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.52 : 6,144.80 = 1,175 : x
  2. Step 2: Convert to fraction form
    4,096.52/6,144.80 = 1,175/x
  3. Step 3: Cross multiply
    4,096.52x = 6,144.80 × 1,175
  4. Step 4: Simplify right side
    4,096.52x = 7,220,140
  5. Step 5: Solve for x
    x = 7,220,140/4,096.52
  6. Step 6: Final answer
    x = 1,762.51

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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.