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Finding the Fourth Proportional to 4,751.22, 7,127.50 and 1,464.58

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Solution

The fourth proportional to 4,751.22, 7,127.50 and 1,464.58 is: 2,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.22 : 7,127.50 = 1,464.58 : x
  2. Step 2: Convert to fraction form
    4,751.22/7,127.50 = 1,464.58/x
  3. Step 3: Cross multiply
    4,751.22x = 7,127.50 × 1,464.58
  4. Step 4: Simplify right side
    4,751.22x = 10,438,793.95
  5. Step 5: Solve for x
    x = 10,438,793.95/4,751.22
  6. Step 6: Final answer
    x = 2,197.08

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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.