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Finding the Fourth Proportional to 4,765.88, 7,146.84 and 1,842.50

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Solution

The fourth proportional to 4,765.88, 7,146.84 and 1,842.50 is: 2,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.88 : 7,146.84 = 1,842.50 : x
  2. Step 2: Convert to fraction form
    4,765.88/7,146.84 = 1,842.50/x
  3. Step 3: Cross multiply
    4,765.88x = 7,146.84 × 1,842.50
  4. Step 4: Simplify right side
    4,765.88x = 13,168,052.70
  5. Step 5: Solve for x
    x = 13,168,052.70/4,765.88
  6. Step 6: Final answer
    x = 2,762.98

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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.