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Finding the Fourth Proportional to 5,071.80, 7,608.38 and 1,562.06

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Solution

The fourth proportional to 5,071.80, 7,608.38 and 1,562.06 is: 2,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.80 : 7,608.38 = 1,562.06 : x
  2. Step 2: Convert to fraction form
    5,071.80/7,608.38 = 1,562.06/x
  3. Step 3: Cross multiply
    5,071.80x = 7,608.38 × 1,562.06
  4. Step 4: Simplify right side
    5,071.80x = 11,884,700.21
  5. Step 5: Solve for x
    x = 11,884,700.21/5,071.80
  6. Step 6: Final answer
    x = 2,343.29

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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.