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Finding the Fourth Proportional to 3,510.95, 5,267.84 and 1,561.82

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Solution

The fourth proportional to 3,510.95, 5,267.84 and 1,561.82 is: 2,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.95 : 5,267.84 = 1,561.82 : x
  2. Step 2: Convert to fraction form
    3,510.95/5,267.84 = 1,561.82/x
  3. Step 3: Cross multiply
    3,510.95x = 5,267.84 × 1,561.82
  4. Step 4: Simplify right side
    3,510.95x = 8,227,383.72
  5. Step 5: Solve for x
    x = 8,227,383.72/3,510.95
  6. Step 6: Final answer
    x = 2,343.35

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1.5x scale

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.