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Finding the Fourth Proportional to 3,642.60, 5,026.74 and 2,070.59

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Solution

The fourth proportional to 3,642.60, 5,026.74 and 2,070.59 is: 2,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.60 : 5,026.74 = 2,070.59 : x
  2. Step 2: Convert to fraction form
    3,642.60/5,026.74 = 2,070.59/x
  3. Step 3: Cross multiply
    3,642.60x = 5,026.74 × 2,070.59
  4. Step 4: Simplify right side
    3,642.60x = 10,408,317.58
  5. Step 5: Solve for x
    x = 10,408,317.58/3,642.60
  6. Step 6: Final answer
    x = 2,857.39

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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.