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Finding the Fourth Proportional to 3,648.58, 5,026.26 and 2,902.30

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Solution

The fourth proportional to 3,648.58, 5,026.26 and 2,902.30 is: 3,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.58 : 5,026.26 = 2,902.30 : x
  2. Step 2: Convert to fraction form
    3,648.58/5,026.26 = 2,902.30/x
  3. Step 3: Cross multiply
    3,648.58x = 5,026.26 × 2,902.30
  4. Step 4: Simplify right side
    3,648.58x = 14,587,714.40
  5. Step 5: Solve for x
    x = 14,587,714.40/3,648.58
  6. Step 6: Final answer
    x = 3,998.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.