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Finding the Fourth Proportional to 4,661.71, 6,460.88 and 4,574.23

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Solution

The fourth proportional to 4,661.71, 6,460.88 and 4,574.23 is: 6,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.71 : 6,460.88 = 4,574.23 : x
  2. Step 2: Convert to fraction form
    4,661.71/6,460.88 = 4,574.23/x
  3. Step 3: Cross multiply
    4,661.71x = 6,460.88 × 4,574.23
  4. Step 4: Simplify right side
    4,661.71x = 29,553,512.10
  5. Step 5: Solve for x
    x = 29,553,512.10/4,661.71
  6. Step 6: Final answer
    x = 6,339.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.