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Finding the Fourth Proportional to 5,148.73, 7,106.42 and 3,024.50

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Solution

The fourth proportional to 5,148.73, 7,106.42 and 3,024.50 is: 4,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.73 : 7,106.42 = 3,024.50 : x
  2. Step 2: Convert to fraction form
    5,148.73/7,106.42 = 3,024.50/x
  3. Step 3: Cross multiply
    5,148.73x = 7,106.42 × 3,024.50
  4. Step 4: Simplify right side
    5,148.73x = 21,493,352.17
  5. Step 5: Solve for x
    x = 21,493,352.17/5,148.73
  6. Step 6: Final answer
    x = 4,174.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.