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Finding the Fourth Proportional to 4,783.92, 7,175.88 and 4,434

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Solution

The fourth proportional to 4,783.92, 7,175.88 and 4,434 is: 6,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.92 : 7,175.88 = 4,434 : x
  2. Step 2: Convert to fraction form
    4,783.92/7,175.88 = 4,434/x
  3. Step 3: Cross multiply
    4,783.92x = 7,175.88 × 4,434
  4. Step 4: Simplify right side
    4,783.92x = 31,817,851.92
  5. Step 5: Solve for x
    x = 31,817,851.92/4,783.92
  6. Step 6: Final answer
    x = 6,651

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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.