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Finding the Fourth Proportional to 4,742.99, 7,114.49 and 2,807.50

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Solution

The fourth proportional to 4,742.99, 7,114.49 and 2,807.50 is: 4,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.99 : 7,114.49 = 2,807.50 : x
  2. Step 2: Convert to fraction form
    4,742.99/7,114.49 = 2,807.50/x
  3. Step 3: Cross multiply
    4,742.99x = 7,114.49 × 2,807.50
  4. Step 4: Simplify right side
    4,742.99x = 19,973,930.68
  5. Step 5: Solve for x
    x = 19,973,930.68/4,742.99
  6. Step 6: Final answer
    x = 4,211.25

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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.