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Finding the Fourth Proportional to 5,057.62, 6,979.28 and 3,730.84

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Solution

The fourth proportional to 5,057.62, 6,979.28 and 3,730.84 is: 5,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.62 : 6,979.28 = 3,730.84 : x
  2. Step 2: Convert to fraction form
    5,057.62/6,979.28 = 3,730.84/x
  3. Step 3: Cross multiply
    5,057.62x = 6,979.28 × 3,730.84
  4. Step 4: Simplify right side
    5,057.62x = 26,038,577.00
  5. Step 5: Solve for x
    x = 26,038,577.00/5,057.62
  6. Step 6: Final answer
    x = 5,148.39

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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.