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Finding the Fourth Proportional to 4,100.67, 5,656.50 and 2,421.54

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Solution

The fourth proportional to 4,100.67, 5,656.50 and 2,421.54 is: 3,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.67 : 5,656.50 = 2,421.54 : x
  2. Step 2: Convert to fraction form
    4,100.67/5,656.50 = 2,421.54/x
  3. Step 3: Cross multiply
    4,100.67x = 5,656.50 × 2,421.54
  4. Step 4: Simplify right side
    4,100.67x = 13,697,441.01
  5. Step 5: Solve for x
    x = 13,697,441.01/4,100.67
  6. Step 6: Final answer
    x = 3,340.29

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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.