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Finding the Fourth Proportional to 5,165.78, 7,128.78 and 2,807.93

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Solution

The fourth proportional to 5,165.78, 7,128.78 and 2,807.93 is: 3,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.78 : 7,128.78 = 2,807.93 : x
  2. Step 2: Convert to fraction form
    5,165.78/7,128.78 = 2,807.93/x
  3. Step 3: Cross multiply
    5,165.78x = 7,128.78 × 2,807.93
  4. Step 4: Simplify right side
    5,165.78x = 20,017,115.23
  5. Step 5: Solve for x
    x = 20,017,115.23/5,165.78
  6. Step 6: Final answer
    x = 3,874.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.