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Finding the Fourth Proportional to 5,476.81, 8,215.21 and 1,527.90

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Solution

The fourth proportional to 5,476.81, 8,215.21 and 1,527.90 is: 2,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.81 : 8,215.21 = 1,527.90 : x
  2. Step 2: Convert to fraction form
    5,476.81/8,215.21 = 1,527.90/x
  3. Step 3: Cross multiply
    5,476.81x = 8,215.21 × 1,527.90
  4. Step 4: Simplify right side
    5,476.81x = 12,552,019.36
  5. Step 5: Solve for x
    x = 12,552,019.36/5,476.81
  6. Step 6: Final answer
    x = 2,291.85

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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.