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Finding the Fourth Proportional to 4,160, 5,740.80 and 2,297.12

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Solution

The fourth proportional to 4,160, 5,740.80 and 2,297.12 is: 3,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160 : 5,740.80 = 2,297.12 : x
  2. Step 2: Convert to fraction form
    4,160/5,740.80 = 2,297.12/x
  3. Step 3: Cross multiply
    4,160x = 5,740.80 × 2,297.12
  4. Step 4: Simplify right side
    4,160x = 13,187,306.50
  5. Step 5: Solve for x
    x = 13,187,306.50/4,160
  6. Step 6: Final answer
    x = 3,170.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.