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Finding the Fourth Proportional to 4,154.32, 5,730.12 and 2,827.48

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Solution

The fourth proportional to 4,154.32, 5,730.12 and 2,827.48 is: 3,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.32 : 5,730.12 = 2,827.48 : x
  2. Step 2: Convert to fraction form
    4,154.32/5,730.12 = 2,827.48/x
  3. Step 3: Cross multiply
    4,154.32x = 5,730.12 × 2,827.48
  4. Step 4: Simplify right side
    4,154.32x = 16,201,799.70
  5. Step 5: Solve for x
    x = 16,201,799.70/4,154.32
  6. Step 6: Final answer
    x = 3,899.99

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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.