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Finding the Fourth Proportional to 4,962.64, 7,444.08 and 2,040.96

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Solution

The fourth proportional to 4,962.64, 7,444.08 and 2,040.96 is: 3,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.64 : 7,444.08 = 2,040.96 : x
  2. Step 2: Convert to fraction form
    4,962.64/7,444.08 = 2,040.96/x
  3. Step 3: Cross multiply
    4,962.64x = 7,444.08 × 2,040.96
  4. Step 4: Simplify right side
    4,962.64x = 15,193,069.52
  5. Step 5: Solve for x
    x = 15,193,069.52/4,962.64
  6. Step 6: Final answer
    x = 3,061.49

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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.