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Finding the Fourth Proportional to 3,482.55, 5,224.68 and 1,017.41

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Solution

The fourth proportional to 3,482.55, 5,224.68 and 1,017.41 is: 1,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.55 : 5,224.68 = 1,017.41 : x
  2. Step 2: Convert to fraction form
    3,482.55/5,224.68 = 1,017.41/x
  3. Step 3: Cross multiply
    3,482.55x = 5,224.68 × 1,017.41
  4. Step 4: Simplify right side
    3,482.55x = 5,315,615.56
  5. Step 5: Solve for x
    x = 5,315,615.56/3,482.55
  6. Step 6: Final answer
    x = 1,526.36

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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.