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Finding the Fourth Proportional to 4,576.47, 6,859.35 and 4,057.47

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Solution

The fourth proportional to 4,576.47, 6,859.35 and 4,057.47 is: 6,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.47 : 6,859.35 = 4,057.47 : x
  2. Step 2: Convert to fraction form
    4,576.47/6,859.35 = 4,057.47/x
  3. Step 3: Cross multiply
    4,576.47x = 6,859.35 × 4,057.47
  4. Step 4: Simplify right side
    4,576.47x = 27,831,606.84
  5. Step 5: Solve for x
    x = 27,831,606.84/4,576.47
  6. Step 6: Final answer
    x = 6,081.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.