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Finding the Fourth Proportional to 5,290.84, 7,291.29 and 3,874.96

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Solution

The fourth proportional to 5,290.84, 7,291.29 and 3,874.96 is: 5,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.84 : 7,291.29 = 3,874.96 : x
  2. Step 2: Convert to fraction form
    5,290.84/7,291.29 = 3,874.96/x
  3. Step 3: Cross multiply
    5,290.84x = 7,291.29 × 3,874.96
  4. Step 4: Simplify right side
    5,290.84x = 28,253,457.10
  5. Step 5: Solve for x
    x = 28,253,457.10/5,290.84
  6. Step 6: Final answer
    x = 5,340.07

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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.