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Finding the Fourth Proportional to 3,818.54, 5,728.53 and 1,510.22

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Solution

The fourth proportional to 3,818.54, 5,728.53 and 1,510.22 is: 2,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.54 : 5,728.53 = 1,510.22 : x
  2. Step 2: Convert to fraction form
    3,818.54/5,728.53 = 1,510.22/x
  3. Step 3: Cross multiply
    3,818.54x = 5,728.53 × 1,510.22
  4. Step 4: Simplify right side
    3,818.54x = 8,651,340.58
  5. Step 5: Solve for x
    x = 8,651,340.58/3,818.54
  6. Step 6: Final answer
    x = 2,265.61

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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.