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Finding the Fourth Proportional to 3,575.68, 4,934.74 and 2,083.72

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Solution

The fourth proportional to 3,575.68, 4,934.74 and 2,083.72 is: 2,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.68 : 4,934.74 = 2,083.72 : x
  2. Step 2: Convert to fraction form
    3,575.68/4,934.74 = 2,083.72/x
  3. Step 3: Cross multiply
    3,575.68x = 4,934.74 × 2,083.72
  4. Step 4: Simplify right side
    3,575.68x = 10,282,616.43
  5. Step 5: Solve for x
    x = 10,282,616.43/3,575.68
  6. Step 6: Final answer
    x = 2,875.71

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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.