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Finding the Fourth Proportional to 5,406.50, 8,110.26 and 1,510.94

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Solution

The fourth proportional to 5,406.50, 8,110.26 and 1,510.94 is: 2,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.50 : 8,110.26 = 1,510.94 : x
  2. Step 2: Convert to fraction form
    5,406.50/8,110.26 = 1,510.94/x
  3. Step 3: Cross multiply
    5,406.50x = 8,110.26 × 1,510.94
  4. Step 4: Simplify right side
    5,406.50x = 12,254,116.24
  5. Step 5: Solve for x
    x = 12,254,116.24/5,406.50
  6. Step 6: Final answer
    x = 2,266.55

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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.