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Finding the Fourth Proportional to 5,145.12, 7,102.08 and 3,159

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Solution

The fourth proportional to 5,145.12, 7,102.08 and 3,159 is: 4,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.12 : 7,102.08 = 3,159 : x
  2. Step 2: Convert to fraction form
    5,145.12/7,102.08 = 3,159/x
  3. Step 3: Cross multiply
    5,145.12x = 7,102.08 × 3,159
  4. Step 4: Simplify right side
    5,145.12x = 22,435,470.72
  5. Step 5: Solve for x
    x = 22,435,470.72/5,145.12
  6. Step 6: Final answer
    x = 4,360.53

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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.