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Finding the Fourth Proportional to 5,210.21, 7,808.02 and 3,742.49

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Solution

The fourth proportional to 5,210.21, 7,808.02 and 3,742.49 is: 5,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.21 : 7,808.02 = 3,742.49 : x
  2. Step 2: Convert to fraction form
    5,210.21/7,808.02 = 3,742.49/x
  3. Step 3: Cross multiply
    5,210.21x = 7,808.02 × 3,742.49
  4. Step 4: Simplify right side
    5,210.21x = 29,221,436.77
  5. Step 5: Solve for x
    x = 29,221,436.77/5,210.21
  6. Step 6: Final answer
    x = 5,608.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.