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Finding the Fourth Proportional to 4,746.52, 7,063.97 and 4,731.94

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Solution

The fourth proportional to 4,746.52, 7,063.97 and 4,731.94 is: 7,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.52 : 7,063.97 = 4,731.94 : x
  2. Step 2: Convert to fraction form
    4,746.52/7,063.97 = 4,731.94/x
  3. Step 3: Cross multiply
    4,746.52x = 7,063.97 × 4,731.94
  4. Step 4: Simplify right side
    4,746.52x = 33,426,282.20
  5. Step 5: Solve for x
    x = 33,426,282.20/4,746.52
  6. Step 6: Final answer
    x = 7,042.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.