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Finding the Fourth Proportional to 4,100.01, 5,657.16 and 2,607.38

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Solution

The fourth proportional to 4,100.01, 5,657.16 and 2,607.38 is: 3,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.01 : 5,657.16 = 2,607.38 : x
  2. Step 2: Convert to fraction form
    4,100.01/5,657.16 = 2,607.38/x
  3. Step 3: Cross multiply
    4,100.01x = 5,657.16 × 2,607.38
  4. Step 4: Simplify right side
    4,100.01x = 14,750,365.84
  5. Step 5: Solve for x
    x = 14,750,365.84/4,100.01
  6. Step 6: Final answer
    x = 3,597.64

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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.