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Finding the Fourth Proportional to 4,209.25, 5,808.08 and 2,530.25

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Solution

The fourth proportional to 4,209.25, 5,808.08 and 2,530.25 is: 3,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.25 : 5,808.08 = 2,530.25 : x
  2. Step 2: Convert to fraction form
    4,209.25/5,808.08 = 2,530.25/x
  3. Step 3: Cross multiply
    4,209.25x = 5,808.08 × 2,530.25
  4. Step 4: Simplify right side
    4,209.25x = 14,695,915.27
  5. Step 5: Solve for x
    x = 14,695,915.27/4,209.25
  6. Step 6: Final answer
    x = 3,491.34

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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.