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Finding the Fourth Proportional to 4,123.75, 5,698.54 and 3,127.18

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Solution

The fourth proportional to 4,123.75, 5,698.54 and 3,127.18 is: 4,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.75 : 5,698.54 = 3,127.18 : x
  2. Step 2: Convert to fraction form
    4,123.75/5,698.54 = 3,127.18/x
  3. Step 3: Cross multiply
    4,123.75x = 5,698.54 × 3,127.18
  4. Step 4: Simplify right side
    4,123.75x = 17,820,360.32
  5. Step 5: Solve for x
    x = 17,820,360.32/4,123.75
  6. Step 6: Final answer
    x = 4,321.40

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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.