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Finding the Fourth Proportional to 4,610, 6,357.36 and 3,100.96

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Solution

The fourth proportional to 4,610, 6,357.36 and 3,100.96 is: 4,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610 : 6,357.36 = 3,100.96 : x
  2. Step 2: Convert to fraction form
    4,610/6,357.36 = 3,100.96/x
  3. Step 3: Cross multiply
    4,610x = 6,357.36 × 3,100.96
  4. Step 4: Simplify right side
    4,610x = 19,713,919.07
  5. Step 5: Solve for x
    x = 19,713,919.07/4,610
  6. Step 6: Final answer
    x = 4,276.34

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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.