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Finding the Fourth Proportional to 5,242.76, 7,235.02 and 2,885.05

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Solution

The fourth proportional to 5,242.76, 7,235.02 and 2,885.05 is: 3,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.76 : 7,235.02 = 2,885.05 : x
  2. Step 2: Convert to fraction form
    5,242.76/7,235.02 = 2,885.05/x
  3. Step 3: Cross multiply
    5,242.76x = 7,235.02 × 2,885.05
  4. Step 4: Simplify right side
    5,242.76x = 20,873,394.45
  5. Step 5: Solve for x
    x = 20,873,394.45/5,242.76
  6. Step 6: Final answer
    x = 3,981.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.