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Finding the Fourth Proportional to 3,459, 4,774.56 and 2,464.68

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Solution

The fourth proportional to 3,459, 4,774.56 and 2,464.68 is: 3,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459 : 4,774.56 = 2,464.68 : x
  2. Step 2: Convert to fraction form
    3,459/4,774.56 = 2,464.68/x
  3. Step 3: Cross multiply
    3,459x = 4,774.56 × 2,464.68
  4. Step 4: Simplify right side
    3,459x = 11,767,762.54
  5. Step 5: Solve for x
    x = 11,767,762.54/3,459
  6. Step 6: Final answer
    x = 3,402.07

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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.