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Finding the Fourth Proportional to 4,147.04, 5,722.88 and 2,284

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Solution

The fourth proportional to 4,147.04, 5,722.88 and 2,284 is: 3,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.04 : 5,722.88 = 2,284 : x
  2. Step 2: Convert to fraction form
    4,147.04/5,722.88 = 2,284/x
  3. Step 3: Cross multiply
    4,147.04x = 5,722.88 × 2,284
  4. Step 4: Simplify right side
    4,147.04x = 13,071,057.92
  5. Step 5: Solve for x
    x = 13,071,057.92/4,147.04
  6. Step 6: Final answer
    x = 3,151.90

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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.