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Finding the Fourth Proportional to 5,030.82, 7,538.10 and 3,077.10

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Solution

The fourth proportional to 5,030.82, 7,538.10 and 3,077.10 is: 4,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.82 : 7,538.10 = 3,077.10 : x
  2. Step 2: Convert to fraction form
    5,030.82/7,538.10 = 3,077.10/x
  3. Step 3: Cross multiply
    5,030.82x = 7,538.10 × 3,077.10
  4. Step 4: Simplify right side
    5,030.82x = 23,195,487.51
  5. Step 5: Solve for x
    x = 23,195,487.51/5,030.82
  6. Step 6: Final answer
    x = 4,610.68

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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.