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Finding the Fourth Proportional to 3,642.54, 5,026.23 and 2,070.60

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Solution

The fourth proportional to 3,642.54, 5,026.23 and 2,070.60 is: 2,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.54 : 5,026.23 = 2,070.60 : x
  2. Step 2: Convert to fraction form
    3,642.54/5,026.23 = 2,070.60/x
  3. Step 3: Cross multiply
    3,642.54x = 5,026.23 × 2,070.60
  4. Step 4: Simplify right side
    3,642.54x = 10,407,311.84
  5. Step 5: Solve for x
    x = 10,407,311.84/3,642.54
  6. Step 6: Final answer
    x = 2,857.16

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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.