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Finding the Fourth Proportional to 5,167.16, 7,746.42 and 2,395.81

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Solution

The fourth proportional to 5,167.16, 7,746.42 and 2,395.81 is: 3,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.16 : 7,746.42 = 2,395.81 : x
  2. Step 2: Convert to fraction form
    5,167.16/7,746.42 = 2,395.81/x
  3. Step 3: Cross multiply
    5,167.16x = 7,746.42 × 2,395.81
  4. Step 4: Simplify right side
    5,167.16x = 18,558,931.13
  5. Step 5: Solve for x
    x = 18,558,931.13/5,167.16
  6. Step 6: Final answer
    x = 3,591.71

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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.