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Finding the Fourth Proportional to 3,460.10, 4,772.32 and 2,133.32

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Solution

The fourth proportional to 3,460.10, 4,772.32 and 2,133.32 is: 2,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.10 : 4,772.32 = 2,133.32 : x
  2. Step 2: Convert to fraction form
    3,460.10/4,772.32 = 2,133.32/x
  3. Step 3: Cross multiply
    3,460.10x = 4,772.32 × 2,133.32
  4. Step 4: Simplify right side
    3,460.10x = 10,180,856.51
  5. Step 5: Solve for x
    x = 10,180,856.51/3,460.10
  6. Step 6: Final answer
    x = 2,942.36

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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.