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Finding the Fourth Proportional to 4,078.30, 5,717.30 and 4,078.30

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Solution

The fourth proportional to 4,078.30, 5,717.30 and 4,078.30 is: 5,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.30 : 5,717.30 = 4,078.30 : x
  2. Step 2: Convert to fraction form
    4,078.30/5,717.30 = 4,078.30/x
  3. Step 3: Cross multiply
    4,078.30x = 5,717.30 × 4,078.30
  4. Step 4: Simplify right side
    4,078.30x = 23,316,864.59
  5. Step 5: Solve for x
    x = 23,316,864.59/4,078.30
  6. Step 6: Final answer
    x = 5,717.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.