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Finding the Fourth Proportional to 3,506.95, 5,261.46 and 1,041.82

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Solution

The fourth proportional to 3,506.95, 5,261.46 and 1,041.82 is: 1,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.95 : 5,261.46 = 1,041.82 : x
  2. Step 2: Convert to fraction form
    3,506.95/5,261.46 = 1,041.82/x
  3. Step 3: Cross multiply
    3,506.95x = 5,261.46 × 1,041.82
  4. Step 4: Simplify right side
    3,506.95x = 5,481,494.26
  5. Step 5: Solve for x
    x = 5,481,494.26/3,506.95
  6. Step 6: Final answer
    x = 1,563.04

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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.