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Finding the Fourth Proportional to 4,574.71, 6,312.22 and 2,896.39

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Solution

The fourth proportional to 4,574.71, 6,312.22 and 2,896.39 is: 3,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.71 : 6,312.22 = 2,896.39 : x
  2. Step 2: Convert to fraction form
    4,574.71/6,312.22 = 2,896.39/x
  3. Step 3: Cross multiply
    4,574.71x = 6,312.22 × 2,896.39
  4. Step 4: Simplify right side
    4,574.71x = 18,282,650.89
  5. Step 5: Solve for x
    x = 18,282,650.89/4,574.71
  6. Step 6: Final answer
    x = 3,996.46

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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.