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Finding the Fourth Proportional to 5,695.38, 7,858.35 and 4,282.47

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Solution

The fourth proportional to 5,695.38, 7,858.35 and 4,282.47 is: 5,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.38 : 7,858.35 = 4,282.47 : x
  2. Step 2: Convert to fraction form
    5,695.38/7,858.35 = 4,282.47/x
  3. Step 3: Cross multiply
    5,695.38x = 7,858.35 × 4,282.47
  4. Step 4: Simplify right side
    5,695.38x = 33,653,148.12
  5. Step 5: Solve for x
    x = 33,653,148.12/5,695.38
  6. Step 6: Final answer
    x = 5,908.85

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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.