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Finding the Fourth Proportional to 3,345.92, 4,615.36 and 2,464

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Solution

The fourth proportional to 3,345.92, 4,615.36 and 2,464 is: 3,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.92 : 4,615.36 = 2,464 : x
  2. Step 2: Convert to fraction form
    3,345.92/4,615.36 = 2,464/x
  3. Step 3: Cross multiply
    3,345.92x = 4,615.36 × 2,464
  4. Step 4: Simplify right side
    3,345.92x = 11,372,247.04
  5. Step 5: Solve for x
    x = 11,372,247.04/3,345.92
  6. Step 6: Final answer
    x = 3,398.84

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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.