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Finding the Fourth Proportional to 3,703.32, 5,108.64 and 2,130.36

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Solution

The fourth proportional to 3,703.32, 5,108.64 and 2,130.36 is: 2,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.32 : 5,108.64 = 2,130.36 : x
  2. Step 2: Convert to fraction form
    3,703.32/5,108.64 = 2,130.36/x
  3. Step 3: Cross multiply
    3,703.32x = 5,108.64 × 2,130.36
  4. Step 4: Simplify right side
    3,703.32x = 10,883,242.31
  5. Step 5: Solve for x
    x = 10,883,242.31/3,703.32
  6. Step 6: Final answer
    x = 2,938.78

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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.