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Finding the Fourth Proportional to 4,897.85, 7,346.54 and 1,199.88

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Solution

The fourth proportional to 4,897.85, 7,346.54 and 1,199.88 is: 1,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.85 : 7,346.54 = 1,199.88 : x
  2. Step 2: Convert to fraction form
    4,897.85/7,346.54 = 1,199.88/x
  3. Step 3: Cross multiply
    4,897.85x = 7,346.54 × 1,199.88
  4. Step 4: Simplify right side
    4,897.85x = 8,814,960.42
  5. Step 5: Solve for x
    x = 8,814,960.42/4,897.85
  6. Step 6: Final answer
    x = 1,799.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.