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Finding the Fourth Proportional to 3,459.66, 4,772.21 and 2,465.26

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Solution

The fourth proportional to 3,459.66, 4,772.21 and 2,465.26 is: 3,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.66 : 4,772.21 = 2,465.26 : x
  2. Step 2: Convert to fraction form
    3,459.66/4,772.21 = 2,465.26/x
  3. Step 3: Cross multiply
    3,459.66x = 4,772.21 × 2,465.26
  4. Step 4: Simplify right side
    3,459.66x = 11,764,741.01
  5. Step 5: Solve for x
    x = 11,764,741.01/3,459.66
  6. Step 6: Final answer
    x = 3,400.54

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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.