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Finding the Fourth Proportional to 4,969.89, 7,456.07 and 1,507.14

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Solution

The fourth proportional to 4,969.89, 7,456.07 and 1,507.14 is: 2,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.89 : 7,456.07 = 1,507.14 : x
  2. Step 2: Convert to fraction form
    4,969.89/7,456.07 = 1,507.14/x
  3. Step 3: Cross multiply
    4,969.89x = 7,456.07 × 1,507.14
  4. Step 4: Simplify right side
    4,969.89x = 11,237,333.80
  5. Step 5: Solve for x
    x = 11,237,333.80/4,969.89
  6. Step 6: Final answer
    x = 2,261.08

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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.