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Finding the Fourth Proportional to 4,840.62, 7,261.88 and 1,553.46

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Solution

The fourth proportional to 4,840.62, 7,261.88 and 1,553.46 is: 2,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.62 : 7,261.88 = 1,553.46 : x
  2. Step 2: Convert to fraction form
    4,840.62/7,261.88 = 1,553.46/x
  3. Step 3: Cross multiply
    4,840.62x = 7,261.88 × 1,553.46
  4. Step 4: Simplify right side
    4,840.62x = 11,281,040.10
  5. Step 5: Solve for x
    x = 11,281,040.10/4,840.62
  6. Step 6: Final answer
    x = 2,330.49

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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.