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Finding the Fourth Proportional to 4,770.56, 7,159.98 and 1,999.10

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Solution

The fourth proportional to 4,770.56, 7,159.98 and 1,999.10 is: 3,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.56 : 7,159.98 = 1,999.10 : x
  2. Step 2: Convert to fraction form
    4,770.56/7,159.98 = 1,999.10/x
  3. Step 3: Cross multiply
    4,770.56x = 7,159.98 × 1,999.10
  4. Step 4: Simplify right side
    4,770.56x = 14,313,516.02
  5. Step 5: Solve for x
    x = 14,313,516.02/4,770.56
  6. Step 6: Final answer
    x = 3,000.38

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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.