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Finding the Fourth Proportional to 5,145.16, 7,713.42 and 2,065.48

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Solution

The fourth proportional to 5,145.16, 7,713.42 and 2,065.48 is: 3,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.16 : 7,713.42 = 2,065.48 : x
  2. Step 2: Convert to fraction form
    5,145.16/7,713.42 = 2,065.48/x
  3. Step 3: Cross multiply
    5,145.16x = 7,713.42 × 2,065.48
  4. Step 4: Simplify right side
    5,145.16x = 15,931,914.74
  5. Step 5: Solve for x
    x = 15,931,914.74/5,145.16
  6. Step 6: Final answer
    x = 3,096.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.