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Finding the Fourth Proportional to 5,072.30, 7,607.10 and 1,562.30

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Solution

The fourth proportional to 5,072.30, 7,607.10 and 1,562.30 is: 2,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.30 : 7,607.10 = 1,562.30 : x
  2. Step 2: Convert to fraction form
    5,072.30/7,607.10 = 1,562.30/x
  3. Step 3: Cross multiply
    5,072.30x = 7,607.10 × 1,562.30
  4. Step 4: Simplify right side
    5,072.30x = 11,884,572.33
  5. Step 5: Solve for x
    x = 11,884,572.33/5,072.30
  6. Step 6: Final answer
    x = 2,343.03

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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.