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Finding the Fourth Proportional to 3,642.84, 5,025.87 and 2,070.54

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Solution

The fourth proportional to 3,642.84, 5,025.87 and 2,070.54 is: 2,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.84 : 5,025.87 = 2,070.54 : x
  2. Step 2: Convert to fraction form
    3,642.84/5,025.87 = 2,070.54/x
  3. Step 3: Cross multiply
    3,642.84x = 5,025.87 × 2,070.54
  4. Step 4: Simplify right side
    3,642.84x = 10,406,264.87
  5. Step 5: Solve for x
    x = 10,406,264.87/3,642.84
  6. Step 6: Final answer
    x = 2,856.64

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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.