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Finding the Fourth Proportional to 5,699.64, 7,866.18 and 3,462.36

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Solution

The fourth proportional to 5,699.64, 7,866.18 and 3,462.36 is: 4,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.64 : 7,866.18 = 3,462.36 : x
  2. Step 2: Convert to fraction form
    5,699.64/7,866.18 = 3,462.36/x
  3. Step 3: Cross multiply
    5,699.64x = 7,866.18 × 3,462.36
  4. Step 4: Simplify right side
    5,699.64x = 27,235,546.98
  5. Step 5: Solve for x
    x = 27,235,546.98/5,699.64
  6. Step 6: Final answer
    x = 4,778.47

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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.