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Finding the Fourth Proportional to 5,107.55, 7,051.11 and 3,437.74

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Solution

The fourth proportional to 5,107.55, 7,051.11 and 3,437.74 is: 4,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.55 : 7,051.11 = 3,437.74 : x
  2. Step 2: Convert to fraction form
    5,107.55/7,051.11 = 3,437.74/x
  3. Step 3: Cross multiply
    5,107.55x = 7,051.11 × 3,437.74
  4. Step 4: Simplify right side
    5,107.55x = 24,239,865.26
  5. Step 5: Solve for x
    x = 24,239,865.26/5,107.55
  6. Step 6: Final answer
    x = 4,745.89

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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.