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Finding the Fourth Proportional to 5,406.32, 8,109.80 and 1,510.73

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Solution

The fourth proportional to 5,406.32, 8,109.80 and 1,510.73 is: 2,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.32 : 8,109.80 = 1,510.73 : x
  2. Step 2: Convert to fraction form
    5,406.32/8,109.80 = 1,510.73/x
  3. Step 3: Cross multiply
    5,406.32x = 8,109.80 × 1,510.73
  4. Step 4: Simplify right side
    5,406.32x = 12,251,673.83
  5. Step 5: Solve for x
    x = 12,251,673.83/5,406.32
  6. Step 6: Final answer
    x = 2,266.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.