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Finding the Fourth Proportional to 4,825.82, 6,655.65 and 4,056.38

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Solution

The fourth proportional to 4,825.82, 6,655.65 and 4,056.38 is: 5,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.82 : 6,655.65 = 4,056.38 : x
  2. Step 2: Convert to fraction form
    4,825.82/6,655.65 = 4,056.38/x
  3. Step 3: Cross multiply
    4,825.82x = 6,655.65 × 4,056.38
  4. Step 4: Simplify right side
    4,825.82x = 26,997,845.55
  5. Step 5: Solve for x
    x = 26,997,845.55/4,825.82
  6. Step 6: Final answer
    x = 5,594.46

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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.