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Finding the Fourth Proportional to 5,422.90, 8,134.64 and 1,527.61

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Solution

The fourth proportional to 5,422.90, 8,134.64 and 1,527.61 is: 2,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.90 : 8,134.64 = 1,527.61 : x
  2. Step 2: Convert to fraction form
    5,422.90/8,134.64 = 1,527.61/x
  3. Step 3: Cross multiply
    5,422.90x = 8,134.64 × 1,527.61
  4. Step 4: Simplify right side
    5,422.90x = 12,426,557.41
  5. Step 5: Solve for x
    x = 12,426,557.41/5,422.90
  6. Step 6: Final answer
    x = 2,291.50

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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.