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Finding the Fourth Proportional to 3,656.70, 5,038.38 and 3,057.12

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Solution

The fourth proportional to 3,656.70, 5,038.38 and 3,057.12 is: 4,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.70 : 5,038.38 = 3,057.12 : x
  2. Step 2: Convert to fraction form
    3,656.70/5,038.38 = 3,057.12/x
  3. Step 3: Cross multiply
    3,656.70x = 5,038.38 × 3,057.12
  4. Step 4: Simplify right side
    3,656.70x = 15,402,932.27
  5. Step 5: Solve for x
    x = 15,402,932.27/3,656.70
  6. Step 6: Final answer
    x = 4,212.25

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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.