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Finding the Fourth Proportional to 3,465.91, 4,784.84 and 2,346.49

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Solution

The fourth proportional to 3,465.91, 4,784.84 and 2,346.49 is: 3,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.91 : 4,784.84 = 2,346.49 : x
  2. Step 2: Convert to fraction form
    3,465.91/4,784.84 = 2,346.49/x
  3. Step 3: Cross multiply
    3,465.91x = 4,784.84 × 2,346.49
  4. Step 4: Simplify right side
    3,465.91x = 11,227,579.21
  5. Step 5: Solve for x
    x = 11,227,579.21/3,465.91
  6. Step 6: Final answer
    x = 3,239.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.