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Finding the Fourth Proportional to 5,169.21, 7,130.31 and 4,507.65

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Solution

The fourth proportional to 5,169.21, 7,130.31 and 4,507.65 is: 6,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.21 : 7,130.31 = 4,507.65 : x
  2. Step 2: Convert to fraction form
    5,169.21/7,130.31 = 4,507.65/x
  3. Step 3: Cross multiply
    5,169.21x = 7,130.31 × 4,507.65
  4. Step 4: Simplify right side
    5,169.21x = 32,140,941.87
  5. Step 5: Solve for x
    x = 32,140,941.87/5,169.21
  6. Step 6: Final answer
    x = 6,217.77

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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.