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Finding the Fourth Proportional to 3,703.32, 5,111.04 and 2,131.40

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Solution

The fourth proportional to 3,703.32, 5,111.04 and 2,131.40 is: 2,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.32 : 5,111.04 = 2,131.40 : x
  2. Step 2: Convert to fraction form
    3,703.32/5,111.04 = 2,131.40/x
  3. Step 3: Cross multiply
    3,703.32x = 5,111.04 × 2,131.40
  4. Step 4: Simplify right side
    3,703.32x = 10,893,670.66
  5. Step 5: Solve for x
    x = 10,893,670.66/3,703.32
  6. Step 6: Final answer
    x = 2,941.60

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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.