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Finding the Fourth Proportional to 4,188, 6,306.40 and 3,100.08

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Solution

The fourth proportional to 4,188, 6,306.40 and 3,100.08 is: 4,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188 : 6,306.40 = 3,100.08 : x
  2. Step 2: Convert to fraction form
    4,188/6,306.40 = 3,100.08/x
  3. Step 3: Cross multiply
    4,188x = 6,306.40 × 3,100.08
  4. Step 4: Simplify right side
    4,188x = 19,550,344.51
  5. Step 5: Solve for x
    x = 19,550,344.51/4,188
  6. Step 6: Final answer
    x = 4,668.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.