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Finding the Fourth Proportional to 3,705.01, 5,111.71 and 2,524.03

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Solution

The fourth proportional to 3,705.01, 5,111.71 and 2,524.03 is: 3,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.01 : 5,111.71 = 2,524.03 : x
  2. Step 2: Convert to fraction form
    3,705.01/5,111.71 = 2,524.03/x
  3. Step 3: Cross multiply
    3,705.01x = 5,111.71 × 2,524.03
  4. Step 4: Simplify right side
    3,705.01x = 12,902,090.30
  5. Step 5: Solve for x
    x = 12,902,090.30/3,705.01
  6. Step 6: Final answer
    x = 3,482.34

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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.