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Finding the Fourth Proportional to 5,147.51, 7,103.51 and 2,909.34

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Solution

The fourth proportional to 5,147.51, 7,103.51 and 2,909.34 is: 4,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.51 : 7,103.51 = 2,909.34 : x
  2. Step 2: Convert to fraction form
    5,147.51/7,103.51 = 2,909.34/x
  3. Step 3: Cross multiply
    5,147.51x = 7,103.51 × 2,909.34
  4. Step 4: Simplify right side
    5,147.51x = 20,666,511.24
  5. Step 5: Solve for x
    x = 20,666,511.24/5,147.51
  6. Step 6: Final answer
    x = 4,014.86

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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.