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Finding the Fourth Proportional to 4,836.98, 7,254.30 and 1,549.40

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Solution

The fourth proportional to 4,836.98, 7,254.30 and 1,549.40 is: 2,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.98 : 7,254.30 = 1,549.40 : x
  2. Step 2: Convert to fraction form
    4,836.98/7,254.30 = 1,549.40/x
  3. Step 3: Cross multiply
    4,836.98x = 7,254.30 × 1,549.40
  4. Step 4: Simplify right side
    4,836.98x = 11,239,812.42
  5. Step 5: Solve for x
    x = 11,239,812.42/4,836.98
  6. Step 6: Final answer
    x = 2,323.73

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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.