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Finding the Fourth Proportional to 3,209.52, 4,812.84 and 1,017.84

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Solution

The fourth proportional to 3,209.52, 4,812.84 and 1,017.84 is: 1,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.52 : 4,812.84 = 1,017.84 : x
  2. Step 2: Convert to fraction form
    3,209.52/4,812.84 = 1,017.84/x
  3. Step 3: Cross multiply
    3,209.52x = 4,812.84 × 1,017.84
  4. Step 4: Simplify right side
    3,209.52x = 4,898,701.07
  5. Step 5: Solve for x
    x = 4,898,701.07/3,209.52
  6. Step 6: Final answer
    x = 1,526.30

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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.