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Finding the Fourth Proportional to 4,444.40, 6,667.74 and 1,522.74

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Solution

The fourth proportional to 4,444.40, 6,667.74 and 1,522.74 is: 2,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,444.40 : 6,667.74 = 1,522.74 : x
  2. Step 2: Convert to fraction form
    4,444.40/6,667.74 = 1,522.74/x
  3. Step 3: Cross multiply
    4,444.40x = 6,667.74 × 1,522.74
  4. Step 4: Simplify right side
    4,444.40x = 10,153,234.41
  5. Step 5: Solve for x
    x = 10,153,234.41/4,444.40
  6. Step 6: Final answer
    x = 2,284.50

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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.