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Finding the Fourth Proportional to 3,256.66, 4,881.72 and 2,421.50

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Solution

The fourth proportional to 3,256.66, 4,881.72 and 2,421.50 is: 3,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.66 : 4,881.72 = 2,421.50 : x
  2. Step 2: Convert to fraction form
    3,256.66/4,881.72 = 2,421.50/x
  3. Step 3: Cross multiply
    3,256.66x = 4,881.72 × 2,421.50
  4. Step 4: Simplify right side
    3,256.66x = 11,821,056.03
  5. Step 5: Solve for x
    x = 11,821,056.03/3,256.66
  6. Step 6: Final answer
    x = 3,629.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.