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Finding the Fourth Proportional to 5,242.76, 7,235.12 and 2,884.86

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Solution

The fourth proportional to 5,242.76, 7,235.12 and 2,884.86 is: 3,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.76 : 7,235.12 = 2,884.86 : x
  2. Step 2: Convert to fraction form
    5,242.76/7,235.12 = 2,884.86/x
  3. Step 3: Cross multiply
    5,242.76x = 7,235.12 × 2,884.86
  4. Step 4: Simplify right side
    5,242.76x = 20,872,308.28
  5. Step 5: Solve for x
    x = 20,872,308.28/5,242.76
  6. Step 6: Final answer
    x = 3,981.17

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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.